Handheld and home console are just two different form factors of a dedicated gaming console.
A handheld has a screen and controls all in one portable device - generally capable of putting into your pocket.
A home console is to be played on the TV with separate controllers.
A hybrid console (like the Switch) can convert to both these things, and sometimes more (Switch can also be a small tablet device).
PSP is a handheld, and a plugging it into a TV doesn’t change that unless it uses separate controllers. Then it would be a hybrid.
I describe myself as a little dose of toxic masculinity.







