Toyota paint is rather hard, so I would recommend a bit more aggressive polish and some polishing pads - the red pad is for waxing. If you wanna save a few bucks, I can recommend Meguiar's Ulitmate Compound and Ultimate Polish. You can often find them on sale at Wally World or the auto stores. If you wanna go top end, then I'd try the Wolfgang "Twins" (Total Swirl Remover and Finishing Glaze) or Menzera Super Intensive Polish followed by Nano Finish (PO106). Then, if you want, jewel the paint with PO85RD - it adds a good bit of gloss. Since you seem to be new to this, I'd recommend you finish it all off with a couple coats of Menz Power Lock topped with Collinite 845.
For pads, I'd recommend you get a 6 pack of the Lake Country 5.5" Flat Pads - 2 orange, 1 white, 2 grey/black and 1 blue. Be sure to get the 5.5" pads - DA's work a bit better with those rather than the 6.5". Although many users do report that the 6.5" pads are fine with the GG. The orange pads are used with the more agressive first step polish - ie, the Ultimate Compound or SIP. The grey/black pads are used with the final polishes - UP/106/85RD. The blue pad is for waxes and sealants.
You do need to wash and clay properly before you polish, and you do need to know how to use the DA properly. See the Detailing-How-To's menu item on the forum's top menu bar.