Barbwire, your post has been invaluable to me. That "hire a driver" outfit has excellent reviews everywhere I've checked. I am planning to call them tomorrow.
One more question if I may? Was your U-Haul rental a one way rental? Was that a lot more expensive than round trip?
Peace & Thanks
Glad it was helpful. Long distance small moves are soooo hard, especially for one person. (For reference, my storage 10x15 storage unit is about 2/3 filled, loosely packed).
In full transparency, my TX-->UT move has been delayed a few months (Covid-19!) but in the spring I will rent a truck and, separately, hire a driver: I control the loading, unloading, and have a key to the truck padlock. My goods are always (within reason) in my control.
To answer your question: Unlike rental cars, truck rentals (UHaul, Penske, Budget) are quoted as "local" or "one-way". You will have a "one-way" rental. The rent-a-driver company may/can advise about which company to pick. Also look at AAA discounts for Penske , or other association discounts (Costco? AARP?).
Consider well as distance from truck pick-up location to your house/storage unit, and from final apartment back to drop-off (and note opening hours/days for pick up/drop off). Note that you will have to drive those yourself: rent-a-drivers typically meet you when your truck is full, and hand the keys back to you when they arrive at the destination address, before unloading.
For loading/unloading: sure, there are are guys listed on the Uhaul (or whatever) site but I would look at locally based full-service moving firms that advertise that they also load/unload moving trucks and PODS. You are more likely to get moving/loading professionals who know what they are doing rather than a couple of strong dudes who pile up stuff in a truck on weekends.
If your truck / rent-a-driver wants to get from A to B faster than you want to drive, consider flying from A to B to meet them, get unloaded/settled (rent a car for a couple of days), and then fly back to A to get your car and have a stress-free drive to your new home in B.
In March, that is probably what I will do: load in ATX, hand the keys to the driver, fly to SLC to meet him/her three days later, unload .... fly back to ATX to get my SUV and say goodbye to friends. I will then take a two week slow springtime trip through NM and UT to my new home, knowing my goods are safe there.