Mpox is not only transmitted by touching, but is also transmitted by respiratory droplets. If the children in your life are immunocompromised, wearing a mask would help.
Have you googled symptoms of mpox? You can avoid contact with anyone who has a rash, but people are contagious 1-4 days prior to symptoms.
Honestly, I'm not sure why you've latched onto mpox. I don't know what the incidence rates are where you are, but there are no current outbreaks that I can find anywhere globally.
If the children are immunocompromised, there are other things I'd worry about more than mpox - the flu, covid, etc.