You terms are acceptable. I'll put a sign out on my business that says "none of our employees have criminal records".
Note you are free to advertise hiring prior offenders.
You can also look up business ownership details and see if they have criminal records as well.
> I'll put a sign out on my business that says "none of our employees have criminal records".
Why only criminal records? There is a huge amount of potentially useful information about everyone that goes way beyond criminal records.