http://www.fodors.com/community/euro...ria-venice.cfm
is one of my favorite trip reports.
I spent 12 days in Budapest a couple years ago. Never did run out of things to do. A couple guide books - Lonely Planet, and I think Fodors. I'm an "active senior traveler" also. The public transport system served well. I ate far too many of their wonderful poppyseed and walnut filled pastries. Found Dreher locally brewed beer perfect with most any Hungarian food, but most especially with Doner kebab (hole-in-the-wall street vendors and ask for "everything" on it). Brought back a great stash of paprika. I'm getting hungry just remembering.
The weather will be chilly for your planned time, but that will just make those baths feel all the better. (Maybe pack some flip-flops for them, and remember to bring along a hotel towel to avoid towel rental charges.)
Romelle