This is a family name on my mom's side for three men and inspired my mom's middle name. No one liked the name and nicknames were very hard to come by -- I can only think of Uly (YOO-lee) and none of the men used that.
I'm not really big on name meanings, but
Ulysses is the Latin form of
Odysseus, which many believe to mean "to hate". That may or may not be a dealbreaker for you, but because of my family's reaction to the name and its meaning, I'd never be able to use it.