I'll go out on crazy limb here....I know you said Disney, but you might wish to take a look at a few non WDW hotels too- given the price of many WDW hotels. Or at least consider a split stay that is part onsite and part offsite.
Hear me out...
We tend to do split stays no matter what, but if we're looking to spend our time enjoying the pools and other hotel amenities, we often split our time among different hotels. That way you get to enjoy a variety of dining options and a variety of pools, and it often costs less.
Two hotels that come to mind- if you want a really fun pool - are the Marriott World Center and the JW Marriott Grande Lakes (this is not the one in Bonnett Creek.) The JW has all kinds of hotel activities, and a really great lazy river. I have not been there in a few years, but the hotel was gorgeous. Marriott World Center has lots of pool and water slide options.
Another option to consider is the Sapphire Falls at Universal. The hotel is super nice, and you have access to tons of non park options. Universal also allows pool hopping if you are staying at one of their hotels. I can't we've actually done that though because the pool at SF is super. All of Citywalk is easily accessible via walking plus shuttle boats, and you'll know you are by a theme park. Lots of great dining options in all price ranges.
On WDW property....I'd look at pricing, dining options you want to explore if you otherwise like the pools all the same. Not mentioned yet is POR. It has a fun pool and easy boat access to Disney Springs. We liked Gran Destino too, but we had a car. If you want a kitchen, consider a DVC room. Again, I'd look at prices for the dates you want. They appear to be all over the place right now.
Universal's Cabana Bay is also a bigger room, though I don't think they have a kitchen.