I realized I didn't fully answer your question. If you are moving down to work then it is very different than going down to hunt. You will need a permit to permanently import your guns to the states rather than the usual form 6. When you move back to Canada it is pretty easy with long guns, but you will need an export permit from the States, which means you need an import permit from Canada to get their export permit issued, even though Canada doesn't actually require and Import permit.
That is why I suggested you buy another set in the States, and sell them before you come back, or leave them with a friend. If you want to bring a few back you will still need a US export permit. Shotgun and rifle permits are issued by different departments.
The other annoying part is you will end up with a lot of spare marks on your guns from importing to the US then back to Canada as both countries require import marking each time the gun is permanently imported to a country.
Borderview Imports does a lot of this kind of work if you end up needing help.
https://www.borderview.com/services/...mport-service/