"To record these memories" means to create a permanent record or document of personal experiences or events so that they can be remembered and referred to in the future. Full definition
I wish I could give each of you a book to record memories of your little one.... (girlintheredshoes.com)
Please, describe your process in recording his memories and preserving his perspective. (bookbrowse.com)
Finding a photographer like this one or this one that can capture these moments and help record these memories is an invaluable gift. (verywellfamily.com)