Do not relocate them, it is sadly less humane. There are already other animals living in these areas who are barely surviving as-is, and introducing new ones potentially has the effect of killing both natives and those introduced, through competition for resources and damage to established habitat. Many will succumb to disease or environmental hazards they are not acclimated to, dying a slow wretched death.

Adopt a shelter cat and buy quick-kill snap traps if they are causing damage or contaminating living spaces. If they are someplace where they don’t cause major damage, you could consider en.wikipedia.org/wiki/ContraPest to depopulate them over a long period.