Just a thought about taters...
My mom never liked lumps either, so she always took the mixer to them until there weren't any. Believe it or not, she put in some milk and (get this) mayonaisse for the flavorings.
Delicious! Don't know how you feel about mayo, though.
The mixer should work, either way. Our family has done it with a hand mixer or one on a stand. Both work.
Forgot to say that taters were peeled. No skins.