I’ve had the last year to work it out.
$3k for the first month and deposit on a place in Brooklyn I already have planned, and $1200 for the drive up (I need a U-Haul to move stuff). This includes my calculations for how much gas I would need and food I would eat on the trip up.
It’s a 16 -20 hour drive, and I plan to do it all in one shot.
It might be worth it to sell or donate a lot of stuff and buy it after you move. You can ship books through media mail. If you can get rid of enough and ship other stuff, then you could possibly avoid having to rent a truck.
It’s probably cheaper to donate things like plates and coffee mugs than it is to move them. You can find very nice plates and other items at thrift stores for a few bucks. You can sell your tv instead of risking it breaking. Anything that’s heavy or bulky is likely easy enough to replace secondhand unless it has great sentimental value to you. The most expensive thing to replace would be a mattress. Even if you could downsize to a regular van instead of a full truck you would save a lot of money.
That’s how I moved back when I was poor, and I moved a lot. I would buy used furniture in whatever new place I was in. Saves a lot of money if you don’t ship your stuff with you. And media mail is fantastic.