Some Air B&B and VRBO are specifically set up for month plus stays, and some owners of properties that are not set up that way will still give significant discounts for longer stays as well if you ask them. Something worth considering if you are paying for it, often you can get a pretty nice apartment/condo for the same price (or cheaper) as a long term hotel depending on the location.

This approach might help you to "live" in a nicer location, one issue with the long term hotels I have seen is that they are often in less desirable locations near freeways/busy shopping areas or less desirable parts of town.

I stayed in a long term hotel for 10 days when I moved from Florida to Delaware 10+ years ago, before Airbnb was a real thing. Now if I had to do it again (and I might, soon) I would definitely go the Airbnb route. The only issue is that you might not have as much flexibility as in a hotel in case you decide you want to leave early or stay longer.