The area around the law school is very safe. Transportation isn't a problem, there are 3 buses that you could take: the 20/44 (as was mentioned) and the 88 is also a few blocks away. It's about a 10-15 min ride to the 7 train on the 20/44 and about 20 mins to the R/V Woodhaven station in Rego Park.
Some neighborhoods to look into are Kew Gardens Hills, Rego Park, Elmhurst, and Flushing. They are all close by, safe, and near shopping areas. Good luck!