The Polynesian, Contemporary, and Grand Floridian are on the Monorail system. Buy any Epcot/Magic Kingdom tix you need at your hotel, hop in the rental car, and park at one of the above. If a parking attendant asks you anyting, say you are there for a character breakfast or to check out the resort (but we have never been asked). Cruise through the lobby, hop on the monorail to a park, and voila! You have avoided having to take a bus (and be subject to a bus schedule), missed the awful and congested Ticket and Transportation Center, with the huge parking lot (good luck finding your car), and lines to get in the park like a cattle drive.
To get to Epcot, you will change monorails at T&T, but it is easy. And if you stay until park closing, or you and your husband go back in the evening, it is much easier to get on a monorail and go to one of the hotels than it is to get on the monorail to the T&T Center- THAT is really awful at the end of the day!
I am all about fingding the least stressful way to get around Disney. I hate crowds, and I hate being rushed. We always park at the Polynesian and base out of there- they have a nice coffee shop, great concierge people, and you feel like you are really 'on vacation" there- it is fun "luau kitsch". It would be a great place for you and Cork to hook up before hitting the parks for the day!