Analysis
NAICS 814 is the 2022 subsector for private households, part of 81 (Other Services (except Public Administration)).
It has only one more detailed code, 814110, which covers exactly the same activities; the definition, index entries and statistics are on that page.
County Business Patterns publishes no national count for it, either because the code is out of the survey's scope or because the figures are suppressed to protect individual businesses.
Official definition
The Private Households subsector includes private households that engage in employing workers on or about the premises in activities primarily concerned with the operation of the household. These private households may employ individuals, such as cooks, maids, nannies, butlers, non-medical personal care aides, and outside workers, such as gardeners, caretakers, and other maintenance workers.
Source: US Census Bureau, NAICS 2022 Manual.