I think Lionheart nailed it in terms of suggestions.
I too travelled to CC (from Seattle) for my surgery. After discharge, I stayed another two nights in one of the hotels right by the hospital. I have to tell you, in my case it would have been extremely difficult for me to fly home alone in my condition. Even with copious help, if I had to do it again, I would plan to spend 3 nights in the hotel.
It's true, everybody heals at a different rate, and therefore spends a different number of days in the hospital post-surgery, but they'll discharge you as soon as they reasonably can. No longer needing to be in the hospital is far different from no longer needing assistance. If I was travelling alone, I'd plan on 3 or 4 days in the hotel.
There are three hotels associated with the hospital, and a CC shuttle bus that connects the hospitals with the hotels. Information about the hotels (and the concierge) should be in your CC packet. We stayed in "the suites," which I think was the middle-priced one, and it was great. I would guess that 2/3rds of the guests were families of patients or recovering patients themselves, and the staff is very helpful and understanding.
The first day in the hotel, I was walking so slowly that several different staffers asked me if I wanted help, and I got the impression that this happens all the time. I was also mentally quite slow and everbody was very patient. It sometimes took me a good hour to eat a meal, during which I was fighting to just not nod off into my food. You'll see other survivors shuffling along, with black and blue marks on their face or arms, and some people in wheelchairs or walkers, so you won't feel out of place.
A couple other things:
1. Talk to the CC concierge in advance about getting some "in hotel" help (the red coated people won't know). They will give you some names and phone numbers of off-duty nurses who are looking for extra hours. Expect to call them and arrange times and rates directly with them. I didn't do this, but my wife actually went this route to obtain a babysitter for our two kids a couple of times so she could spend more time in the hospital.
2. If you do need to delay your scheduled return flight, the airlines will allow you to make changes to your ticket without penalties if it's medically necessary. I'm sure CC would write a note if that's the case.
3. Book early for the hotels.
4. As everybody said, be sure to get a wheelchair at both departing and arriving airports, even if you feel good when you get to the airport. It's easy to understimate the toll that walking (and even standing) will have on your body and it will be that much harder on the flight if you've pushed it.
5. The Cleveland Airport is a pretty sleepy place. You can slip your cabby an extra $10 and ask him to take care of you, and he'll be able to leave his cab at the curb and escort you in (taking care of the luggage) and get you to the wheelchair. Or, just have the cabbie leave the luggage at curbside and talk to one of the curbside checkin people or porters. They'll take good care of you if you explain the situation (and tip well
I grew up in Cleveland, and went to CC for my surgery, so if you have any questions just ask.