You could have your vehicle shipped. It's usually around $700 to ship a car anywhere in the country. That may be the most reasonable thing to do depending on the length of your contract. You could rent a car. Some companies give a rental stipend. Depending on the city, public transportation may be a good, cheap option.
My sister did the Travel, Flying, etc circuit for several years. She always drove her Ford SUV. Boy, could she pack that thing!!! Eventually, she had racks placced on top and she added a tow thingey. She would NOT be without her own wheels whereever she went. And she was licensed in some 20 or so states and did repeat states.
She learned to live out of a suitcase - funny because she is a collector of stuff who hates to part with things. (But she doesn't think so - just points the finger at me! LOL)