My iPhone display is damaged and need to get it replaced

Make sure that the work is done at the Apple Store, or an authorized Apple Service shop. They are the only shops that have access to genuine Apple replacement parts.

A shop that promotes itself as "Apple Experts" or "Apple Repair Specialists", etc may not be an Apple authorized shop.

https://getsupport.apple.com/locations

Get an appointment at an Apple Store for an evaluation. Start here: https://www.apple.com/retail/geniusbar/