I am also considering Mexico at least for a couple of months. Still trying to decide where, maybe Mexico City first, then will travel around
Something to be aware of------ Covid cases in Mexico are dramatically higher than reported. Its very difficult to get tested-- you essentially need to be hospitalized before they will run a test on you. If you're just showing mild symptoms, you will simply be told to stay home. You can always pay privately for a test, but few Mexicans can afford to do that. This is anecdotal, but even so, we know of one family friend that died, a couple that were in the hospital, and others that were not able to get a test done because they weren't sick enough.
If you're looking to move to a city, person to person interactions will likely be greater than in the US and if you plan on going to Mexico City, you will likely be using public transportation a good bit. Its possible you plan to bring your own car, not sure, but I don't feel comfortable driving around.
My wife highly recommends Merida. I'm actually willing to drive there--- people are more relaxed and its a slower lifestyle. Winter is a good time of year to be there as well, there are tons of cheap rentals, lots of things to do, and its one of the safest places in the country.