We got a standard room at POFQ last September. There were only 4 of us but my dad had a stroke and needs a queen bed to himself because of difficulties with turning around in his sleep due to limited mobility on one side of his body. We had 2 queen beds and a roll-away, plus an electric
scooter in the room and I was surprised at how it still did not feel ridiculously cramped. It was tight but I think you could do a standard room at POFQ with a roll-away and fit nicely!
I think POFQ is nice because it's a smaller property and it's easy to get to the food court and buses. It has a New Orleans theme but I did notice there were a lot of kid activities when we were there. One night they had a movie on the lawn (The Incredibles) and one night it rained and in the food court the staff were playing board games with the kids. I'm sure there were other planned activities but we were in the parks all day and didn't explore.
I can't speak to the pool but you may not be doing much swimming in January, unless you like it cold.
I just did a price quote online and for 7 nights (Jan 27 - Feb 2), 6 days base tickets, and the DDP it's $3,383.81. Assuming that history is any indication they will probably be offering a room or dining discount which would easily bring you into the $3,000 range. If you take off dining the package total is $2,280.23!! So FD would put you well within your $3,000 budget.
Just based on my personal experiences this is what I would recommend. You and your hubby will still have a nice experience (POFQ has a walkway along the river and really nice decor IMO) but it's still different and fun. We had an 11 year old with us and she liked the resort. Plus, get your kids looking for all the hidden Mickeys in the room and they'll be entertained for a while!!
I would also think that kids would love AKL...with all the animals. We've not stayed there but my DH and I have a trip booked there at the end of Jan. For fun I did a price quote for the same times as above and with 7 nights and 6 days of base tickets the total is $3,075.69. If you get FD then you're right at your $3,000 mark but you get a deluxe resort and a one of a kind experience for your kids. I'm not sure how big the rooms are but I bet it would be a great option!
So....there are my thoughts on the matter
Oh - and I guess my final, final thought is that it will be fun no matter what you choose!!