How is it normal to feel after cutting out foods?
You won't feel better right away. The first two weeks can be hard. Sugar cravings (carbs, chips, soda, sugar) and dairy cravings (cheese) are intense. I also had soy cravings. These fade off in a couple of weeks but don't underestimate them. Make sure you eat enough. If you're craving foods just eat more. It doesn't get rid of the cravings but it helps, and then you won't be as likely to cave when you get hungry.
I started feeling better pretty fast... I would say I felt better after a week. Not all the way better, but minor improvement. The 3-4 week mark is when you really notice things though.
Don't worry if you don't feel better before 3-4 weeks is up. This is a big change for your body and a lot of those little microbes living inside of you are not going to be happy when you abruptly decide to stop feeding them. Try to remember with the cravings that it's not you, it's your microbiome. And f*ck a lot of those guys.
It helps if you remember you're being manipulated into eating things that are bad for you because of what's living inside of you. Then you can turn the cravings into thoughts like "screw you bacteria, STARVE AND DIE". Or that's what I did.
And remember, the cravings do lessen and then go away. It's the first 2- 2.5 weeks that are the hardest.
Good luck!