Painless? We moved several times and it was always a pain.
Did you read through what the Escapees have online? https://escapees.com/support/domicile-options?id=199
I would look at that and see if that will work since you will be working, I assume full-time, and probably not in that county.
I can make a guess of how I would approach it. Do you know what RV park you will be staying at and whether or not they would accept mail for you? We moved to our current city and stayed in an RV park while we looked for a house. We got a PO Box and the Post Office, requiring a local street address, allowed us to use the RV park address. I would definitely see what the RV park might have to offer if you know which you'll be staying at since you will set up permanently, more or less, for a longer length of time.