I have had lipo in the UK summer, this year it was 20-30C for quite a while, just stored in a box near the middle of my home, at storage voltage, for about 5 years. Never had a problem.
Undamaged lipo at the correct state of charge DOES NOT spontaneously combust.
If you live somewhere where the ambient temps are over 30deg C or below freezing then a solution that keeps your batteries from temperature extremes is a good idea. Otherwise there is NO NEED to store them in a fridge, in fact lower temps and damp are not good for them, just like high temps and humidity are. The key is keeping them at a sensible median temp away from extremes.
Lipo becomes volatile in several states, damaged (usually obvious), over discharged (below 3v per cell but I try to never go below 3.3v) and at extremes of the temp range where it’s capacity or internal resistance change due to the temps. Then it’s easier to damage the battery via over discharge or overheat, simply because the conditions are more extreme.
There is some very good advice in this thread about how to compensate for local conditions in using your lipo safely. Pay attention to that but if you are at usual temps (20-35degC)routinely putting your batteries in the fridge is not required or advisable IMO.
Many transmitters support flight battery monitoring via additional modules but the cheapest and easiest thing to do is to plug in a $3 battery alarm the first few times you fly. Look for one with a 3.5v setting. Time your flights (use your smart watch?) from start to the buzzer going off. Then round down by the nearest 30 sec or a minute, that gives you the flight time for that battery and model. You then set the timer on the TX or your watch for the new time, safe in the knowledge your battery won’t get over discharged and that you will have a small reserve should you be far away/high up when the timer goes off.
A cell and volt checker is worth it, as some other people have mentioned, as you can then check packs on the spot.
Get in the habit of making a log book, with entries for each model. Note things like build date, motor type and ESC current, battery detail, flight duration and the date the prop was installed. Some props require replacement after 3 years as the materials can become brittle. That way you can always have the info you need at hand.