FedEx doesn't have any lay down or system work. That was all systematically eliminated, replaced with switches, years ago.
Drivers do a lot of dock work in general at FedEx, though it's worse in the east where runs are shorter.
If you want daily home time in exchange for dock work, FedEx is hard to beat. If you want to get out there and do system work, you'd probably be a better fit at ODFL.