Yours is a very familiar concern for people moving their domicile/ residence to Rainbow Drive in Livingston, TX (Escapees). They can answer some of your questions, but you are correct - you do need to check with a lawyer in the state of the property you own. (It's not a residence - just a second home - as long as you don't make it your domicile.)
Have you owned this property long? Was it your primary residence/ domicile?
It should be no issue if you owned it as a vacation home, or are buying it as such. If it was your primary residence for several years, and you are going to continue to live there for several months a year - likely that state will still consider you a resident.
If you are turning it into a rental property - likely no problem.
Talk to a lawyer, not an internet forum. Will cost you a little money, but much better advice for your very specific situation.
