Wii games

We just bought a Wii for my girls for x-mas. So, it's me, my wife and two girls that are going to be playing. We got a remote with the games and got another with the Wii play package.
My question is on the games we all want to play simultaneously like Mariocart and supermario, we will need two more remotes..correct??
I seen the thin remote for $39, and a more rounded around the sides remote for $20.00. Would the cheaper one work alright???
Thanks
Barry