This is the only precinct map I've found for Allegheny County. Not the best quality.
Trump only won three precincts in the city of Pittsburgh, which comprised parts of the neighborhoods of Overbrook, Lincoln Place, and New Homestead. IIRC John McCain won all of these precincts back in 2008, so there's no tremendous shift here.
Allegheny County actually voted for Hillary at a slightly higher margin than Obama in 2012. From what I can see, she ran slightly better than Obama in some of the upper-middle class suburban areas, but Trump doesn't seem to have done particularly well in working-class white parts of the county. The biggest shifts seem to be in Penn Hills and Monroeville, which is probably due to the growing black suburban population in those areas.