Having moved across country several times, I may be of some assist...
I would not hire a mover for such a short move; they are very expensive and do not take as good of care of your belongings as you would. But if you are more flush with cash than time or desire you could do it.
The heaviest items should go in the truck first to keep the weight more closely distributed towards the front.
Mattresses can be wrapped with plastic covers which you can buy or with a thin Saran-wrap cover you can buy at the truck rental place for about $10. Make sure the handles on the mattress stick out for ease in carrying.
Dressers are much lighter and easier to move into the truck without their drawers. You can then either just stack the drawers, filled with stuff, in the truck or place them back in the dresser, tape the dresser closed and place it facing the wall.
When packing boxes, make sure they are well labeled as to destination (ie, "master bedroom") as well as with your new moving address inside and out (just print out labels on your computer). The latter is for the paranoiac who fears being truck-jacked and losing their belongings. Do not overpack boxes with books - mix some other light items in with them, otherwise you won't be able to pick up the boxes easily. If there are breakable items, label the box as such, do not stack other boxes on it, and perhaps consider putting them inside the cab with you or inside a dresser drawer, wrapped in bubbles for extra protection. If you can, arrange the boxes so that groups all go to the same location - ie, everything along the driver's side wall is kitchen, etc. Also, makes some sense to put items which are going into the room farthest from your new front door in last, so that you will fill up your new place from back to front---hard to do, but sometimes a worthy goal.
Rent the dolly. Its only about $10 and well worth it for heavy boxes, any furniture or appliances.
Use blankets and bungee cords to wrap wood furniture or things with sharp edges - as much as you like to think things won't move in the truck, they will. My beautiful art deco dresser has a huge gouge out of the side of it because a member of my family put a taller dresser with sharp edges next to it - the latter fell over and damaged my soft wood beauty. 🙁
The hardest part is people to help you. If you have family, you can reasonably do it yourself, as they will presumably come with you and help at your destination. Friends can usually be conned with beer and pizza and since you are only going two hours away, perhaps they can come with. But if not, most moving companies have muscles you can rent or referrals to some - generally around $25 a hr for 1 guy, sometimes a minimum of rent a certain number of hours or at least two guys, but if its just you at your destination it would be worthwhile.
There is a thread in the classified section I believe about different truck companies and which one to rent from. Almost all (except mine) state not to use U-Haul.
best of luck...