Set a live trap. There is nothing more annoying than having red squirrels taking up residence with you in your home. One way to get rid of a red squirrel infestation in your home to is to set a live trap.Once you have trapped the squirrel, relocate him to a location far, far away.et a live trap. There is nothing more annoying than having red squirrels taking up residence with you in your home. One way to get rid of a red squirrel infestation in your home to is to set a live trap.