Pretty much everything Cranial said with a few tweaks/additions - those being:
I also have two multis with 1806 motors. One very similar to this (an emax frame/motors/12a esc's) which I use for FPV and one that's a minimal acrobatic X frame. I wouldn't say either is underpowered - but I run 6045 props. I wouldn't recommend running 6045 props on 1806 motors to a beginner though unless you like replacing motors. 5030 props will fly...but poorly. Ok for first test flights after basic build up but before you put on any FPV gear. Beyond that step up to at least the 5040's. These motors don't really perform very well until swinging 6" props in my opinion but you do have to watch them. Fully loaded with FPV gear you'll probably be much happier with a frame that could swing 6" props and go with the 6030HQ props, though the 5045's are similar but not quite as good with the extra weight.
Unless you're looking for all out blistering speed the 1806's are a valid option. Though the various 1806 motors themselves vary. Those in your link look like emax motors which I like better than the chunkier DYS style 1806 motors. The emax style don't seem as robust - but have handled some major crashes just fine for me on my bigger heavier FPV setup and still run very smooth. The DYS style on the other hand I've found to make funky noises, be considerably heavier, and to have crazy wild vibrations at certain RPM's - and that's new out of the box. On the test stand the DYS can outperform the emax but in actual use I'm prefering the emax. I should swap the motors between frames to give them a better comparison...just kind of a pain since they're all soldered in place with leads custom length to the quad they're in. I would like to see how the emax do on the KISS esc's and how the DYS do on the emax esc's. I had a heck of a time getting the DYS to run well until I switched to the KISS esc's.
After a few months of flying my friends Warp and then him having been flying it at school a few additional months - neither of us feel like we have the skills to really take advantage of the 2204 motors and 6045 props on his warp. We love to fly it like that and it's not overpowered for us. We just haven't reached a point where the 1806 feels like it's limiting us. The 2204 lets us push ourselves harder - but at our skill level the benefits are minimal.
Bottom line - I'd say for a first build 1806 motors are a good choice. They're lighter and cheaper than 2204's - basically all the arguments Cranial made for smaller battery packs (which I fully back, I've thought about putting one of my 2200's on my 250 - but only for a moment and then it seems so ridiculous I just start to laugh. Way too big for a 250 frame.) But - a frame that limits you to 5" props isn't a good choice.
I would say 35C minimum on the battery, I have some 1300 30C's I use and they sag hard even with 1806's. I wouldn't recommend the HK nano-techs right now though, I've had about a 50% attrition rate on them within just a few weeks of gentle use and even those that don't die quick they're going out of balance horribly. (Same experience with 2200 and 340 sized NT packs.) I want to pick up some 1000's still for the lighter weight, they're just never in stock when I have funds available.
Two things Cranial didn't mention that I'd point out:
ESC's and FC.
No clue on those ESC's in that kit. They could be decent they could be horrible. They may be mediocre but flashable. They look like they're probably BS12a clones - even actual BS12a's have given me issues. (I love my bs20's but I swing 8" props at 1400kv with them not 6" props at 2300kv) At this point with a mystery blackout clone frame that limits you to 5" props (quality can vary WILDLY on these Chinese clones), props that look like gemfans so really aren't good for much more than putting on to take photos and show it assembled, and mystery ESC's I'm thinking it's not the greatest option out there. It's not really a rip-off for $100...and you'd have to shop carefully to do any better on price. But I don't think it would result in a very satisfying and rewarding first build. What really pushes me over that edge though is:
CC3D, OpenPilot has a lot of potential...but the dev community is a mess and their hardware is lagging at this point. I've heard of a few people who got it running well on 250's...but not many. You could run cleanflight or Tau on it - but neither is really an optimal choice due to the harware and adds a lot of work for a first build.
So with a not very plug and play FC, mystery ESC's, mystery Frame limited to 5" props, my alarm bells are going off that this would be potentially ok for a 2nd or 3rd build once you know what you're doing and are willing to put in extra effort to overcome some deficiencies in the package. I've been doing a lot of pricing on 250 parts the past few weeks helping my co-worker find parts to rebuild my old acro frame. Are you US based or somewhere else, I assume you're ok with overseas purchasing/risks/shipping since you found parts on alibaba.
Good ESC's will make a world of difference on a 250. Bad ESC's will make a great 250 unflyable good ESC's will make it flyable but annoying, great ESC's will put a smile on your face and let you fly instead of fiddle.
I would suggest an acroNaze32 or compatible unless you want mag/baro/GPS in which case I'd say look towards Sparky/Quanton/Brain, or APM/PixHawk - but be prepared for a new level of complexity doing so. On an FPV rig if you're building for speed/racing then the acroNaze32 would be fine. If you're going for more of a camera rig and want to park a camera on an aerial tripod, or follow a moving subject, and are more interested in slow fluid motion than max speed - I'd go for a full featured board, and personally I'd lean towards one of the Tau boards - probably the Brain. That's probably not an option for your build though as the Brain is $40 more by itself than the full package you're looking at
I just priced out on freebirdrc.com a similar setup:
QAV250 CF frame (I don't think it's a real QAV at that price...but probably a vouched for decent quality clone, doesn't say if it will handle 6" props but they don't sell any 5" props and there are aftermarket QAV arms that will fit 6".)
Emax MT1806 motors
Their simonk ESC's - These are the one item here I don't know if I would suggest or not...but ESC choices are a whole thread all by themselves if you get me started, I'm knee deep in some experiments there.
Their acro Naze clone
5 sets of FC props (FC props are pretty good, they break at the root fairly easily but give good performance and are decently balanced out of the bag. HQ props are better they don't break as easily and are better balanced out of the bag than my old balancer could usually do itself.
Total was $161.10
Now you could replace those $11 ESC's with some some emax ESC's from banggood ($8.61 each with free shipping from the US, cheaper shipping from China, when you buy more than 3.) The emax ESC's need some stick programming done but it only takes a few minutes and Twitchity posted a video of how to do it. I've been very happy with the performance of the stock emax ESC's and they can probably do better yet with some changes that are coming to the firmware they run. You could probably also get a better deal on props by just biting the bullet and buying a big box from himodel - to make their shipping worth it you pretty much have to buy a LOT of props. But on the upside once you have a big box of props you don't mind breaking them pushing your skills as much
Shopping around you could probably also find a better deal on a frame, and a better deal on the motors. But I was trying to do a quick single source comparison.
The setup from freebird I'd feel a lot better recommending than the one from alibaba. The big question from freebird is will their QAV frame take 6" props.
I'd say adding an extra $50-$60 on your package budget should make it possible to get a higher performance less troublesome setup that will make a first build far more rewarding.