When most people talk about expediting, they usually refer to all the bigger companys. ie.fedx, panther, tri-state. but there are alot of smaller local companys also depending where you live. if you know of any in your area you can usually check with them and ask if any of their owner/operators are looking for drivers and they can take your name and #. also it depends how you want to run. you want to be home or live on the road?
just to give you an idea. heres how i'm set up. i work for a local expedite company and drive for an owner. i get 38% of what the truck makes and i have no expenses. he pays all fuel, repairs, truck washes,tolls and anything else the truck needs.the only paper work i have to do for him is mileage reports. I run local and interstate,but i'm home everynight or every other night. (deadhead 99% of the time)but then i'm home for another load. i guess i'm one of the lucky one's. the guy i drive for is great. he gave me a credit card for fuel and all other expenses.the only thing i have to pay is if i go over minutes on my cell phone.
P.S. another way to find a company and get info.is to talk to others drivers on the road. either by C B or at truck stops. Good luck!!!