Re: Moving from canton luzern to canton schwyz
It shouldn't be too difficult. You go to your gemeinde admin office a couple of weeks before you want to make the move and inform them you're deregistering on such and such a date. Then once you've made the move you have 8 days to re-register with your new gemeinde admin office.
Make sure you inform organisations who need to know of the move like your insurance companies, utility providers, etc, about your new address and also arrange to have any post forwarded to your new address via the Post Office, again that's easy to set up online.