As both a musician rediscovering my musical past and the parent of 2 younger musicians, I have to agree with Woody:
"A place to practice without interference from neighbors, family members, etc."
is paramount. It makes me appreciate what I must have put my Mom through, and I am sure my wife is having second thoughts about getting my sax overhauled for me last year.
You need to practice mostly what you can't play in order to improve -- but folks only want to hear what you can already play well and certainly not practising altisimo exercises on Sax!! -- guess I'll have to get one of those "Sax Bags" to silence the beast!
Oh well -- next house will have to have a sound proof music room (and I'll justify it as a "home theatre room").
Any instrument you can practice (at least mostly) with headphones could be a good choice for a lot of folks.
Jim