First I'm 80 and had TKR three years ago, not to different than your situation. I live alone on a small 55 acre farm, family & friends are close by for support. The land is dedicated to Wild Life Habitat Management requirements, so my list of tasks include mowing, plowing and seeding, clearing & trimming brush & trees, welding, light to medium construction, gardening, well you get the point.
Since my replacement surgery I've come to understand that there are many different processes out there to accomplish the same task, so here's what I went thru. My doctor was very sensitive to any bug bites or scratches close to the incision site, no recent injections, no dental work within a month prior to surgery and no fever at surgery time. All making sure that there wasn't any chance of infection that could spread to the surgery site. I actually showed up at the hospital the day of surgery with a very tiny undetected bug bit on the back of my knee, he smiled and rescheduled for the next month. My surgery was also a one day procedure but that included an overnight stay for observation before discharged. Hours after surgery I was up and out of bed walking with a walker as far as I could, which was all of 20' out and back. The next morning I added another 20' to the walk, also with a walker, that's when my doctor asked if I lived on the ground floor, my answer was I had a ramp giving me both access and escape of the house on my own if needed. It was a couple of weeks before I tried the stairs but only a few steps and that was with a cane. Took me months before I could barely get up and down those stairs without a cane but holding onto the handrail with a firm grip. Today I'm up and down without any problems.
Someone on this blog suggested that a rehab facility might be a good place if you had an issue with the stairs, I have a few words to say about that. Last year doing some construction on my house I had an accident, fell backwards off the porch, landed on my neck and shoulders. I ended up in a neck brace for 2 months. The neurologist having some concerns about balance had me check into a nearby rehab facility. On the surface the facility was really a senior care facility with mostly 2 patients per room with a percentage of rooms dedicated for short term rehab patients, like myself. You share everything with the permanent patients, some can barely move in a wheelchair or go to the bathroom by themselves. Eating rooms, exercise room and odd smells roaming the halls are all being shared with all residents. The attendants are not nurses, they're contract hires, that come and go on a very regular basis. There are nurses handling your medications, but if you want an aspirin or antacid that's not on your list you'll need to see a PA or doctor in a day or two on they're staff for a prescription. Bottom line I'd have a different plan ready, maybe a family member or friend who could put you up for a few weeks.
Don't get me wrong, my TKR was the best thing ever. I can now walk and sleep without pain, after a year I was able to go up and down stairs. There is still one issue I have, because there's no feeling in the kneecap I use knee pads when getting down on my knees. One thing to remember, knee replacement is the roughest recovery of all the joints, you'll need to give it time to heal and you don't want to go back to make repairs.