This is my own view, opinion and experience, so it's very subjective with what's important to us on Disney trips.
We used to rent DVC points so stayed in the villas in most of the deluxe resorts we visited. The Beach Club was good, but food choices are limited in the resort, however with access to other resorts including Swan and Dolphin and Boardwalk area, in walking distance, there's plenty of options (we always visit other resorts to dine, shop etc anyway). I've stayed at Swan but would not stay again, definitely not Disney enough for me, although the room was large and so chic.
I loved Bay Lake Tower, being able to walk to MK, and visit the other monorail resorts to dine in the evenings too was the big pull for us. I'm planning some time in the Poly next year (just waiting for Disney holidays from UK to be released). GF is on my bucket list, and I'll definitely stay one day..........
I have a soft spot for AKL, but as others often comment, it's seems so far from parks, dining etc, that said I would stay again. The savannah view room was magical, and the dining options are good, but you cannot walk anywhere from the resort.
As previously mentioned, packing and unpacking is a pain IMHO. Our experience of split stays has been mostly positive, with Disney moving your luggage and even storing chilled food for you. But one year I was unwell for a few days, and on move day, I struggled to be without a room to rest in, I sat in reception waiting desperately to be allocated a room to lie down. Something to consider when you have two small children.