1.) If you are carbing them with corn sugar, I would leave at room temperature for 2 weeks to allow the natural carbonation to take place
2.) For an IPA, I would then store them in the coldest location possible since IPAs don't age well. The colder you keep the beer, the less it "ages". You want to protect that hop profile.
I don't think you need to move it to bottles. Your beer should store fine in the kegs as long as you can keep it at a relatively cool temperature. It is protected from light (better than bottles) and oxygen. I would just keep it in the coolest space that you have until you are ready to tap it. When you do move to the fridge, give it time to cool down to serving temp and absorb the CO2 into solution at the colder temp.