After they master "their" letter, you can move to their whole name. One of my favorite easy activities is making a puzzle with letter magnets that you probably already have. Just trace the letters on a piece of paper and have them match them up (you can put the piece of paper on a cookie tin so the letters don't slip). If you have foam letters or stickers you could also just write the name and have them put the stickers or glue foam letters on to the top of the words.
Another simple DIY is to write their name on a Popsicle stick and then also on some clothespins. They will squeeze the clothespins to match the letters, and which is a practice of dexterity and fine motor control as well.
Another one of my favorite kids song's is Maya Angelou's name song! It's the perfect song to go along with these activities and I love how it fosters a strong sense of self-esteem. I've even added the lyrics below for you to print off and sing whenever you want <3.