Hi, I have lived there for 6 years now and can say that it's a great neighborhood. But first, please, do not call it Hope Village. The realtors have recently invented this name and the vast majority of people from Providence have never heard it before. Most would just say "Hope St." or "Off Hope," or Mount Hope (west of Hope between Rochambeau and Olney) or Summit (west of Hope between Rochambeau and the Pawtucket line.)
The area is a mix of mostly early 20th century single family houses and 2 to 3 family apts. The main commercial strip, Hope St., has some great establishments such as Seven Stars Bakery, Rochambeau Library. It's a pretty safe neighborhood with the exception of some of the areas around Camp St. It's got great parks, good bus as well as highway access.
There are lots of young families, seniors, gay couples, Orthodox Jews, etc. Pretty diverse and tolerant.
The area has gotten a lot more expensive over the last couple of years. SOme of the recent condo conversions seem very pricey to me. You might do better actually buying a smaller single family or going the owner occupied 2 family route depending on your budget. Overall I definitely recommend it highly. My only hesitation is that it's not the bargain it once was.