Legally, you can to take some time off work for your moving day. Basically, there is no obligation to catch up on your missing days. The amount of time is not legally defined. You can look up the rules in your company's regulations. You can read more about this topic on More you learn on the portal for Swiss authorities.
Usually you have to check in or out personally. Normally you have to register in your new municipality within 14 days.
You need the following documents to do so:
Home certificate (individual or for couples). You can get it from your former municipality. You can also order a new certificate from the register office of your home community.
Family record book / family card, if you have children.
Health insurance card or proof of insurance to the current health insurance policy.
If you have changed the place of residence within the commune, the residents' should be informed of the change of address.
If you own a dog, you also have to check him off at the local commune and be register him with the new commune.
The car must be re-registered when you move and the address should be adjusted in your driving license.
If the move occurs within the same canton, the new address should be adjusted at the road traffic office of the canton of the driving license. The change of address must be made within 14 days. If you are moving to within the canton, you are allowed to keep your old number plate.
If you move to another canton, you have to register in the road traffic office of your new canton within the first two weeks after moving. You need the following documents to do so:
Your can replace your old license plate with a new one at the road traffic office of your new canton. You can go in person or send them the documents by post. Prices for the number plate exchange can vary depending on the canton.