I just occasionally move them. I know it is working because the pre-filter needs cleaning often enough. Does it really need "monitoring"?
One of the nice things about air purifiers, unlike owning a boat or leaving a stove on, is that its never going to surprise you in a bad way. You don't need to really monitor anything, it will just purify some air. Do you really want to be bringing that under the umbrella of the stuff you monitor? Maybe this is an irreconcilable difference and we cannot see it the other person's way.