actually i have been doing electrical work for 4-5 years i might not know cannibis but i damn sure know electric

residental is only one fase and a nuetral of course but you r neutral is also ground bieleave it or not you go down to your electrical panle and take the front panle off and you will see theres a bare copper line running straight out side into a ground pole whitch go's 4 feet into the ground

if your only useing 120 volts you will deffintly be fine if all those devices needed a ground to work they wouldnt work period! all you have to do is change to a three prong plug and connect ground to neutral!