Yes, that's exactly what I have: a mix of 2 and 3 prong outlets and adapters. I will call an electrician.
One more question: Is it possible for an electrician to upgrade in stages so I can pay for it in stages?
I have a Federal Pacific Stablok fuse panel besides which has to go, which I learned here, thank you very much. Can the electrician start with the washing machine, which probably does have a corroded blade since it's outside under just a roof. I guess he'll know what he has to do first.