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A "redress number" is a number given to travelers whose name is ***** ***** Do Not Fly list. If you and your husband are not on a Do Not Fly List you are looking for a Trusted Traveler or Known Traveler number.
You have two choices, first you can apply for global entry, some credit card companies will pay for this $100 fee and if you travel internationally that is what you want to apply for. See: https://www.cbp.gov/travel/trusted-traveler-programs/global-entry
Second, you can apply for TSA Pre Chek, which you can do at: https://www.tsa.gov/precheck
With both for these, you have to fill out the application and pay your fee and then upon approval of your application you have to go to the TSA office for an in person interview and fingerprinting.
Once you apply for either one you will get a Known Traveler or Trusted Traveler number and both will then give you access to pre chek and you can go through the expedited lines for check in at the airport when you enter that number in your reservation when booking your flights.
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