Hiya
Reading, just down the M4 from me and some ex work colleagues live around there (or used to just before we all lost our jobs!)
From the sounds of it, you have some specific requirements due to your knee, access and property style requirements - these will narrow down your choice of course but on the other hand, seeing as you've chosen Reading it'd be wise to include surrounding areas/towns as well.
I'd say you do have a reasonable to good chance of finding a ground floor property, with a decent sized bedroom and a bathroom - more than likely in a large converted victorian, or big house with letted/rented floors etc. Another choice would be a 1 or 2 bedroom gorund floor flat/apartment (my rental apartment is ground floor, 2 double bedroom, large/easy access bathroom and 2 allocated parking spaces! - sorry it's rented out!)
Next idea is to contact as many local Reading estate agents as you possibly can, tell them of your needs/requirements and get them working on finding places for you.
Drawbacks would be finding places big enough to accomodate a Queen size bed, and wardrobes as well - you may need to look at downsizing the Queen size bed idea - unless a really spacious property comes along. I'd also say the same for the large Fridge, usual is a slim fridge/freezer - unless a large spacious property comes along, keep these factors in mind.
Reading itself is quite cool, excellent shopping, plenty of nearby stuff to see, easy accessible, job opportunities as there's alot of companies around. some parts of Central reading as some surrounding areas are a bit crap but thats the same for any town or city. The surrounding towns and some properties in semi rural areas are fantastic though, you may find what you're looking for a little further out !
Cheers!
DtM! West London & Slough UK!