As a professional, I can give you advice based on salon products, or do you want a cheaper version?
Drugstore products, however are not always cheaper, and some salons have great sales and coupons. There's no shampoo and conditioner that are miracle workers at working out your frizz but they can smooth your hair. You need styling products, even if you do not want to blow dry or anything like that.
Joico also makes a smoothing shampoo and conditioner.
If you want drugstore, whatever you do, do not buy professional products from a drugstore. Chances are the products are old, or even not real, it's called diversion. If you are going to purchase from a drugstore, I would actually just reccomend you go to Sallys, and get some Ion moisture treatment, shampoo, and conditioner. Try going to Sally's and getting their off brand.
I would use professional products- I would use Sleek Look, by Matrix shampoo and conditioner, and their straightening cream when you blow dry. It smells funny to me though. I would also use Paul Mitchell Super Skinny. they have smoothing shampoo and conditioner. Also they have super skinny serum, which is conditioning, but it wont protect from the heat. Or theres Chi Silk Infusion, you could use. I personally use Joico styling oil.
Sometimes our hair gets frizzy because it needs moisture. Once your hair is styled try not to touch it because that creates frizz too.