they are one of my favourites. I wish they were more common where I live currently. their barred flight feathers are so striking with their rich red breast.
good morning Richard, I hope you will have a wonderful day.

no, this is a red-tailed hawk Buteo jamaicensis. peregrines have dark eyes, dark hood markings, notable bare skin around the eyes, and a structure in the nostril. this bird has bright eyes, a belly band and clear breast, and a short brown tail with narrow dark bands.

red-shouldered hawk Buteo lineatus
wonderful!

red-shouldered hawk Buteo lineatus
beautiful lighting

bright yellow eyes, entire breast with brown tear-drop streaking, tall cere and blocky head: Cooper's hawk Astur cooperii

I recommend the app iNaturalist! It has a computer vision trained by identifiers and there is a community that will add identifications to your photos so they can be used for research.