I grew up in Baltimore, currently live in the city, and attend UMB. Since I'm a city person, I feel pretty comfortable here. I don't feel unsafe around UMB at all. I walk up to Lexington market and up Howard street to the uniform store by myself (during the day of course) and have never had a problem. You just have to know how to act like you know what you're doing and have confidence.
There is a lot of crime in the city, but you just have to know what neighborhoods to avoid. Despite the crime, there is a lot to do, and some of the neighborhoods are really historic and range from quaint to beautiful. Fells point has some great bars and restaurants, as well as unique stores and coffee houses. Canton is an up and coming area that's becoming a bit over-priced but there are some beautiful renovated houses. Both neighborhoods are on the water front. Roland Park is a really nice northern Baltimore neighborhood that has gorgeous houses and is very green. It's probably my favorite neighborhood in the city.
The area around MD General isn't great, but it's not terrible. It's near the symphony hall and the opera house and the local arts school, Maryland Institute College of Art. I don't know anything about the hopsital, though. Peronally I'd rather work for Hopkins or UMMS, but that may be because I've done clinicals there and know ppl who work there.
You may want to check out this website. It has info on real estate here as well as neighborhood websites.