Having driven rigs with both engines, the 8.1L will give you more power on the low end of the RPM range. The 6.8L likes to rev pretty high, which is good, because it makes most of its power at higher speeds.
Gas mileage is going to be similar -- in other words, don't expect much! My 6.8L '00 Jayco Class C gets about 7-9 MPG. Bear in mind that if you, like me, travel where there are a lot of hills, that's probably going to be where you are. On flat land, maybe 1-2 MPG more. I am going to go out on a limb and say a newer rig with the TorqShift transmission ('05 and up, I think?) will do a little better.
I think that time will prove both engines to be really durable. Ford had some issues with blowing spark plugs out of the heads a few years ago, but that's not going to be a problem with the 2010s. The GM 8.1L is basically the same big-block motor they've been building for decades.
You're going to find folks who have good and bad things to say about both. Get the rig you like the best overall, and everything else will fall into place.