Wow lots of solid answers so far. I'll add what i can and keep it short.
The value resorts have a unique style courtesy of the 90s, so just make sure you don't dislike the look. Pop Century sounds like a solid choice! Tim has a nice video
tour of the resort.
For Epcot, DHS, and DAK, by bus or by car. For the Magic Kingdom, you go to the Ticket and Transportation Center and then take a monorail or ferry across the Seven Seas Lagoon.
As for park-hopping, if you have a car you might as well drive. If you don't have a car and you're going from Epcot to DHS or vice versa, you can take a friendship boat. For MK to Epcot or vice versa, you can take the Epcot monorail.
I've never had a problem without a car but certainly having one makes things easier.
You're a quick planner! I think it'll be fine.
I'm more of a quick-service person, but when I do table service I usually go for something that's unique or a buffet. So I like the Mexico restaurant at Epcot, with a nice ambiance and walk-on boat ride that passes by. At DHS, I like the 50s Prime Time Cafe and Sci-Fi Dine-In Theater. I've rarely eaten table service at DAK because it used to close before dinner time! At the Magic Kingdom, I like the Crystal Palace character buffet. I also like Chef Mickey's character buffet at the Contemporary. Disney Springs has a place called T-Rex which is like the Rainforest Cafe (owned by same company). Of course, meal reservations opened 180 days in advance, so some things will be taken regardless of whether you postpone a month, but there are plenty of good options.
The Magic Kingdom monorail loop is one of my favorite places in the world. But don't take my word. Even
@George Lucas on a Bench called it "f***** epic"! Please bask in the beauty of the MK area. Ride the monorail. Also visit Disney Springs. If you like mini golf then check those out.
That's pretty accurate and fortunate for you. Enjoy your trip!