This may be a little late but I thought I would chime in and answer what questions I can. I moved to the area about 6 years ago and the first place we rented was 900. The second place we recently moved to is 875 so it really depends on what you are looking for in terms of housing. In both cases, we rented houses. If you dig deep enough you can certainly find a place fairly cheap especially if you move to the surrounding counties and not reside right in town.
I do not work at UVA but volunteer in the PICU. I was in the ED but wanted more hands-on experiences so I transferred. I love UVA Health System and the fact that it is a teaching hospital. From my own experiences I have found it to be very tight knit community with tremendous opportunity for growth. I have yet to encounter a nurse who absolutely hated it or even had negative things to say about this particular health system. However, it is a teaching hospital which I believe is a lot different from what you may expect at perhaps the neighboring hospital Martha Jefferson.