Here's a website that you might find useful!
http://www.explore-edinburgh.com/index.htmlArthur's seat and the Scott Monument are really impressive, but might be a stretch for someone w/walking difficulties. The Scott Monument involves climbing over 200 stairs up a circular staircase which gets narrower as you get to the top. I don't much care for the climb myself. The view from the top is fantastic, though!
Edinburgh is LOADED w/great museums....the museum on Chambers Steet is a definite must see. My kids could spend days there and still not see everything they want to look at. Admission is free, although some special exhibitions have an entrance fee and they are always happy to accept donations.
http://www.nms.ac.uk/royal/home/index.asp They have a new, interactive area in the museum that my kids are dying to see!
The Camera Obscura is really interesting, but involves climbing a lot of stairs. Not sure if they have a lift or not...might have to call ahead to find out. It's great fun on a sunny day.l
Edinburgh zoo is another nice visit. It is built on a hill, but they offer a ride to the top and you can walk back down instead of having to walk all the way up.
The Royal Yacht Brittania is docked in Leith. There is a fairly steep admission charge, but I understand it is quite interesting. (Haven't actually been myself, although I've spent plenty of time in the Ocean Terminal, the attached shopping centre!)
Meant to mention public transport....fan of the buses or not, they do run everywhere in Edinburgh and on a fairly frequent basis, which may come in handy as the city is built on a series of hills. The Lothian buses are 'kneeling' buses...they can lower the buses to make it easier for people w/mobility issues to get on and off. Price isn't too bad....an all day ticket for 2.30 last time I checked. Depending on how long you're looking to be in Edinburgh, consider a travel card...you can buy one for a week and it is actually cheaper than paying for a day ticket each day. Don't know if you're planning on bringing a car, but it can be difficult (and expensive) to find parking in the city centre.