I wouldn’t straighten your hair. Learn to understand and embrace the natural texture of your hair.
First of all, learn what is in the products you are using. People with curly hair should avoid using styling products with silicones in them because they coat the hair and then you need to use harsh shampoo to get the hair clean, which creates a never-ending cycle of damage.
From memory I think frizz ease is full of nasties. What Argan oil are you using? If it’s that “Moroccan oil” stuff, I think it’s active ingredient is actually cyclopentosiloxane, which is one to avoid.
Google the “curly girl method” for more information. The basic principle of this method is that you use conditioners and styling products which have water soluble ingredients, meaning that they come out of your hair easily and you don’t need to use harsh detergents to wash your hair. A lot of people don’t use shampoo at all, they just use a light conditioner and massage it into the scalp to remove dirt, and then a heavier conditioner to moisturise. The key is to know what ingredients to avoid and choose products which don’t have them. There is a ton of advice about this on hair forums and on YouTube.
As a starting point, try using a shampoo and conditioner like Faith in Nature, Tresemme Naturals (the one without silicone in, not the regular range) or Yes to Carrots. From memory I think these are silicone free, but you’d be better off Googling and finding a list of “good” products.
Then for styling I would start off by trying Boots curl creme, which is pale pink and comes in a round tub, as well as a hair gel. The Umberto Giannini one for curly hair which comes in a pink tube is good.
Here’s a basic routine to try to begin with:
When your hair is wet, comb out any tangles and fix your parting. Rub a 1p sized blob of the pink curl creme between your hands and work it evenly through your hair. Then rub some hair gel between your hands and scrunch it into your hair to encourage the curl. Then use an old t-shirt (not a towel) to gently squeeze the excess moisture out of your hair. Let your hair air dry as much as possible. If you don’t have time, use a hairdryer with a diffuser attachment to dry you hair 90% of the way through without disturbing the curl pattern and then leave the rest to air dry.
That’s just a suggestion for starters, but curly hair forums and blogs, and particularly YOUTUBE will be your friend here.
If you really can’t make it work then you can try straightening it, but I really would avoid going down that road if possible. It’s a shame that so many people think the only thing to do with curly hair is straighten the crap out of it.
Straightening your hair is like smoking - damaging and a very difficult habit to kick. Your hair will never grow straight (so you’ll be trapped in an endless cycle of having to straighten it all the time) but if you straighten it too much it won’t grow curly anymore either, so if you want to stop and go back to curly you’ll essentially have to cut off all the damaged hair and regrow it.