Wahl Peanut.
Oster classic 76. Best one out there. It's a corded machine but still far better than anything else.
I bought the Wahl $22 clippers from DDMS and started giving my kids haircuts myself. It took a few times to become good at it, but I don't think my kids knew the difference to much. (I practiced on the ones that were young enough to not really care until I got good at it, which took surprisingly quick.) Now I save myself $100s of dollars a year from it.
Is the cordless version as good as the corded one ?
Not as good beacuse as the power decreases so does the cutting ability but if you make sure it's fully charged then it could be.