I've stayed at both and POP, even years and years later, is one of our faves. It's the top value resort of all the values and even though CBR is a mod/higher tier, it's really only BIG benefit is the skyliner, which POP has. The pool being closed would be a negative, even if we didn't use it, it's nice to know it's available. CBR has several other smaller/quiet area pools but they have zero theming/slides. Think of a holiday inn pool.
CBR has 7 or 8 bus stops which can get old and exhausting after a long day. Depending on where your bus stop is at the resort, you could be the first stop and hop on an uncrowded bus or the last stop and always be left standing or wait for the next bus. The no elevators didn't bother us but our kids are older and out of strollers. That could be a negative. Also, if you do stick with CBR and didn't pay for a preferred room, request a room in Jamaica. This building is close to the skyliner station, the bridge to the lobby and the first bus stop. Just need to be aware that CBR is a really big resort and your room may be far from amenities. Pop, while it's not tiny, is easier to navigate as CBR is one of the largest resorts on property.
The only other positive for us of CBR is dining. The proximity to Riviera to eat, stroll and enjoy the property but you can do that too on the skyliner from POP. And dining options, since CBR has more on property options. The rooms at POP are a bit smaller than CBR so you will need to consider that too with three kids.
Overall, if I were in your shoes, I'd choose Pop over CBR. Our kids always preferred the theming at the values when they were your kids ages. I don't love the food courts at the values but if you don't plan to be hanging around your resort all day and don't even have a resort day planned, I'd save my money and choose POP.