Some general suggestions from recent experience:

• Get documents in order. File change-of-address with your old state's DMV.
• If you own a vehicle, let your insurance company know, and register it with new state's DMV as soon as possible. This avoids harassment from locals and paperwork pain+fees later on.
• Change-of-address everything. Banks, credit cards, insurance agency, Vanguard/401k, mobile phone telcoms, brainstorm everything. Remember this will change your billing address on the credit card, so update any online payments/subscriptions too.
• Sign up for USPS mail forwarding so it catches any shit you forget, it's like $2 for a year and a little more to extend multiple years but it's worth it.
• Before it expires, transfer your driver's license to the new state. It is much easier and cheaper when still valid.
• Same thing for any benefits - look up for your specific state what you need to do to re-apply for any low income benefits you may qualify for. Make sure you end any claims from the old state when you're supposed to. Not because I believe in that bootlicker shit, but because fraud accusations will make your life annoying.
• Voter registration, if that's your thing. Keep opsec in mind as voter rolls are public.

Just a brainstorm list, hopefully at least one of them saves you some trouble! If you're able and looking for work, I like the LinkedIn jobs section more than craigslist/indeed/etc as employers there are generally more legit (as legit as it can be under capitalsim...). This may not apply to very rural areas though.