Apartment-dweller here, so I can't comment on homeowner insurance or water bills. But it does seem to be especially the case in recent years, that various folks have grown antsy and disaffected by their current locale, be it costs or politics or some real or perceived faults, and have been hankering to move long-distance, to the Promised Land. Long-term residents in said land, would be befuddled, to see such fervent zeal, in going from the old place, to the new.
Retirees are especially vulnerable to such passions, as one is no longer tied to the workplace, and not concerned about job opportunities in the target location.
My own feeling is that local variation is more stark, and affects quality-of-life more substantially, than what time-zone one happens to choose. The different parts of Los Angeles, for example, differ from each other, in appearance and amenities, "vibe", wealth, clutter and density, access to nature and so on.... more than some comparison between California and New York State. So if we are going to move, to chase our dreams or to escape from current nightmares, perhaps we should think more locally.
The one notable exception is state income tax. Whether in Beverly Hills or Blythe, a Californian is going to pay... what a Californian pays. There is no discount for moving from to toniest coastal gated community, to scrubland in 110-degree heat. For persons of a certain financial standing, income tax considerations may well determine, where to live... and thus prompt a long-distance move.