On a quad 2 motors rotate in one direction and 2 motors rotate in the other. Brushless motor rotate in either direction equally well. The CW and CCW you see talked about refers to the direction of the thread on the prop shaft. Looking from the top, if the prop rotates CCW then it's best to have a CW thread. If the prop rotates CW then it's best to have a CCW thread.
DYS 1806 motors are a popular choice. They seem to be strong not too expensive, and are good for for light 250 builds.
I have seen DYS 1806 motors with either CW or CCW adapters but most often you will find them with CW adapters. For small motors you can use all CW threaded motors but you will need to use nyloc nuts for the ones that will spin CW to stop the props from undoing the nut. So long as you tighten the nuts appropriately (just tight enough - not too tight) and check before each flight it seems this works fine.
If you are fussy then you can get these adapters...
http://www.flyingtech.co.uk/frames-...w-self-locking-prop-adpaters-dys-be1806-motor
If by "good controllers with a built in monitor" you mean an RC transmitter with a build in FPV screen, those are really only sold as part of Ready To Fly (RTF) quads. Mostly for hobby FPV set ups people use googles or a separate screen mounted on a regular RC transmitter. People attach the video receiver and monitor to the handle of the RC transmitter. Here' an example RTF setup that uses the i6 TX in this way just to illustration what I mean...
http://www.banggood.com/Eachine-Rac...nch-32CH-Monitor-HD-Camera-RTF-p-1008942.html
I'm not recommending that rtf quad particularly.
The FPV system is separate requiring a separate radio link from the model. There are some low end kits for this but mostly it's picking components. Be aware that you really need a Ham Tech license in the US for any Video transmitter over 25 mW.
What RC transmitter to get depends on your budget and goals. If you are looking for something with all the essential features out of the box for not much money then the FlySky/Turnigy i6 is worth a look for around $50 with a receiver. If you like Spektrum then the Dx6i is ok but there are lots of other good choices in the $100- $250 range. They generally do not work with each other so once you choose one you will have to use that brand's receiver on all your models. Some like Spektrum are popular enough that other companies make less expensive but compatible receivers.
Probably would bother with carbon fiber props to start. They are more expensive an you will just break them. They are potentially more dangerous since they are stiffer. Best props for the beginners are probably
http://www.dalprops.com/ also known surveilzone DAL unbreakable props
http://www.surveilzone.com/Multi-Rotor-t-272 They are not unbreakable but they are harder to break.