I am in the very same boat so I understand completely. The only thing I have found to help is a product called OdorKlenz. I purchased mine on Amazon. For clothing which retains some odor (perfume or other detergent smells) you can add it to the washer as directed.
For items which are heavily laden with the Tide or Cheer scents, that will not be enough. I utilize a large muck bucket and soak the article in this product with enough water to cover. I have MCS (Multiple Chemical Sensitivities). I don a pair of rubber gloves and swish the clothing to make certain the product is pushed through them.
It may soak for one-three days, depending on the strength of the fragrance you detect. Then I transfer the clothing to the washer and use this product as it recommends in the machine. You may have to repeat this process, but you will notice a substantial reduction in the fragrance of the clothing.
Good luck, there are millions of us who are in the same shoes as yourself.