If you have a "certain level of wealth", why would you move from tiny apartment to tiny apartment? You have no need to sell your previous one, or just no need to move. Also, why are they tiny?
It sounds like you're talking about being nomadic on a middle to high income.
Most wealthy people I know own big houses in places like Kensington or Hampstead or whatever the equivalent is. They might also have a pied a terre or three, sure, but they're not constantly moving.