UK grad housing is alright, I have never lived there but the buildings themselves are not very new. Excellent easily walkable access to all of main campus. I don't know of any housing at the seminary though I have seen the cut up houses in that area. There are fraternity houses right next to the seminary, its probably a 2-3 minute walk to the law school.
The oncampus housing is very reasonably priced. Non UK housing will run between $300 dollars for a very small studio apartment to 400-500 for a decent one bedroom. You can get very nice apartments in a 'high rise' downtown building for about 700-1000 dollars a month. Downtown is a 15 minute walk from main campus. Theres various apartment complexes around the area some of which have very nice apartments. The walk from there will be longer though. Check out
http://www.campusrentalproperties.com they have lots of housing around campus and the big downtown building. I rent an apartment from them, very professional company.
If you have a car you can get housing away from campus, there is a parking lot for commuters at memorial collaseum about 5-10 minute walk from the law school. There are lots of luxury apartment complexes away from campus that have housing in the 500-1000 range.