Same perspectives as Veebyes, here. With our 2008 Duramax, the fill tube is plenty big to handle the truck lane pumps. And there is the side benefit that as the truck pumps pass fuel at a much higher volume than standard auto pumps, you'll be able to fill up much faster than in the non-truck lanes. Just know that you'll need to set the pump handle on the slowest (first) notch.
After pulling with a gasser for several years and making the switch to a diesel, I've found the ability to fuel up at truck pumps, avoiding the 'driving gymnsastics' of the auto pumps, a great benefit. Easy in and easy out when towing.
As others have noted, Pilot, Flying J, and many other truck stops will not accept credit cards at the pump. For the first year, this meant that we had to go inside after pulling up and presenting our card to the service desk, then heading back out to pump. It was a bit of a PITA, but not a huge one. In our second year, I signed up for a Pilot/Flying J card that is accepted at the pump, gives us a few cents off the price, and is automatically paid monthly from my checking account via EFT. Much easier.
Also as others have noted, you can always find diesel a bit cheaper from other places, but I've found that for me, the ease and convenience of pulling through the truck lanes when under tow is well worth the extra spend.
As for protocol...
1 - Pull into an empty lane.
2 - Swipe your card or head inside to activate the pump in needed.
3 - Fill 'er up. Diesel and/or DEF at the island. Some turn off their propane, but I never have. One advantage of diesel over gas is that is not as flammable... so not much risk, IMHO.
4 - Most islands also have air, so this might be a good time to check your tire pressure with the pumps running.
5 - When finished fueling, if you need to head inside to pay, hit the head, or pick up a coffee, convenience item, etc, pull forward away from the island to free it up for the next truck/RV. There is typically a line on the pavement to let you (and other trucks) know when you're far enough forward that you're not blocking the island.
If you're a bit intimidated about fueling with the 'big boys', don't be. In all the years we've been fueling in the truck lanes, I've never run into a trucker that made me feel I wasn't where I was supposed to be. In fact, I've had some great conversations with other truckers about road conditions, what it's like to pull a fiver, etc.
Hope this helps...