We got a retired racer last summer and she has settled into our family wonderfully.
She had a spate of accidents a few months after we got her. Strangely she had been fine initially, but I think she just got into a strange habit of weeing in the house for a while. No accidents for some time now, fingers crossed.
Smell wise, her farts utterly honk, but as Scuttlebutter says they are often linked with diet (Note: do NOT give a greyhound scrambled egg).
I am a SAHM so the hound has company on and off during the day, but to be honest she doesn't move far from the sofa and is happy with a couple of short walks a day. When we go out for longer on the weekends, she comes home utterly exhausted and retires to snore for the remainder of the day 
In a nutshell:
PROS: walks like an angel on the lead, fantastic with kids and othgerr dogs, very little hair loss, rarely barks, not at all high maintenance, grill with strangers, vets, at groomers etc
CONS: can't let off the lead, steals food if we're foolish enough to leave on kitchen bench, a bit whiffy!
We went to the RGT, told them about our life and what we specifically wanted (basically bombproof, good with lots of people dropping by, other children and family dogs etc) and more or less asked them to choose us a dog. We walked a few over about 4 visits, then two came on home visits and we ended up with our lovely black girl.
Lovely, lovely dogs! Good luck!