I didn't take too many photos beyond a young age. Was not a fan of being photographed. And in the younger ones, you can't tell that I'm not a little boy in a hair metal band, so it's all good.
For the older photos, I bought my folks a nice photo album and asked if they would mind putting them away. I explained how they made me feel, and we walked around the house to each photo and decided on whether or not it went in the book instead of being on display. For the most part, they ended up in the book.
They do have a big family photo from when I was around 14 or 15 in the upstairs hallway that I didn't ask them to take down. No guests are ever invited up there, so it didn't make sense to ask. Every other picture was in the living room or dining room.
Advice: Ask gently, be considerate, and be willing to compromise on a solution.