Well as someone moving out of California I’m having a hard time finding a moving truck, even 3 months out. uHaul and Ryder are having a hard time fulfilling demand because so many trucks are leaving California and so few are coming back.
It's riskier, but you might see if you can buy a used moving truck and plan to sell it at the destination. I've seen a few reports of people doing that with good results, although I can imagine many ways it might go bad.
Or pod style boxes, or load a trailer and a trucking line drops it off at the new place might have better availability.
It seems crazy to rent a box truck just to be able to drive around town (parking has to be a nightmare), but people are doing it, or so I've heard, at least.