Metro Atlanta Beekeepers Association is a club for honey bee keepers. There’s really no such thing as “keeping” or “moving” carpenter bees, but here is some basic information if you’re concerned about carpenter bees in your home.
Freshly stained/painted wood doesn’t attract carpenter bees. There’s a brief page on them in this booklet published by the USDA that refers to this:
https://www.fs.usda.gov/Internet/FSE_DOCUMENTS/stelprdb5306468.pdf —scroll down to page 10
People report diminished carpenter bee activity on freshly sealed or painted wood.
A great natural solution is to nail up (in an unobtrusive place) a 2 x 4 section of untreated lumber- it can be under your deck or anywhere that isn’t going to be an eyesore. The carpenter bees will eat that up and leave your house alone. If it’s a large log house or deck, nail up several.
You can also try spraying peppermint oil solution on the spots where the bees are drilling in your wood and that will deter them in a less toxic way. (If you can reach their holes, put toothpaste in them.) You may have to keep applying it in the springtime, but after breeding season activity will fall off.
Carpenter bees are great pollinators and are not aggressive to humans and pets. We encourage you to try some peppermint spray, or else seal/paint the wood, or, if the integrity of the structure isn’t at risk, just leave them bee. These are very gentle bees and not likely to sting anyone. The pesticides that an exterminator uses for carpenter bees does kill honey bees.
Carpenter bees and bumble bees are similar and size and sometimes in coloring.
The carpenter bee is not as fuzzy as the bumble and has only a small amount of hair on its middle abdomen. Some carpenter bee species are all black while some have similar yellow markings to the bumble bee but only on their head. The lower abdomen has little to no hair and appears black and shiny which is why they are occasionally referred to as black bees.
The carpenter bee also has hairier back legs than the bumble bee which, like honey bees, has special structures called pollen baskets to carry pollen back to its nest.