You are going to want to start out with a good smoothing serum in your hair before you blowdry. Also make sure that you have towel dried your hair as much as you can before you start blow drying. then you will want to use a great iron. Chi (mentioned above) has a great reputation because for a while they were making the best irons. Recently though they have been having a lot of electrical problems. We won’t even carry them in my salon any more because people were bringing them back so often. Other brands to try are Infrashine (I love these flat irons) Paul Mitchel and Centrix. You will want to spray each section with a thermal protective. Not too much, the section shouldn’t be wet, just moisturized. Afterward you want to use an anti humidity finishing spray.
You should be able to go a day or two with out having to rewash and re flat iron your hair. If you get any grease at the scalp try a dry shampoo.
Products I’d recommend: KMS Flatout, Paul Mitchel Super Skinny Serum, Moroccan Oil, Chi Iron Guard, KMS Makeover Spray, Sexy Hair Dry Shampoo.
There are TONS of shampoos and conditioners marketed towards straightening your hair but because you have SUCH curly hair I wouldn’t waste time with those. Instead try moisturizing shampoos and conditioners. You need to keep moisture in your hair because the blowdryer and the iron are very drying.