These birds need mature trees with snags or deed wood. This is not easy to achieve in a back yard garden. If you have enough room, plant some deciduous oaks. These are best for near a home as the help to moderate the temperatures within your house and decrease your heating bill. They are also quite attractive.
The White-breasted nuthatch is a primary nester. That is, it excavates its own nest cavity. Sometimes they will use an old woodpecker nest. They have a very odd behavior of smearing things around their nest hole. This may be to deter predators.
The White-breasted nuthatch uses Oak woodlands as well as coniferous forests.
The White-breasted nuthatch lives throughout California excluding the high Sierras central valley and desert regions.
The White-breasted nuthatch eats mainly arthropods gleaned from the bark of trees. This high protein diet is mainly used in spring during the breading period. They also pick nuts form conifer cones and acorn and stash some for winter. They seem to defy gravity in their ability cling easily to the underside of branches or move down a vertical tree branch in pursuit of insects and other arthropods.
The White-breasted nuthatch fills a similar niche as the woodpecker. They eat arthropods from tree bark and nuts. They even cache stores for winter.