As I understand it, you would use "maneuver around" in a literal sense, as in "I had to maneuver around the table", while "skirt around" would be more in the case of, "I had to skirt around the topic of death". That wasn't very clear, I'm sorry, but I hope that it helped a bit!
New words, one handy idiom, and a 2-minute quiz — delivered to your inbox to keep your streak alive.