If they are from Universal, they should have the velcro connector that is the safety feature.
If your kids are little, you could do what my son loved to do (with Disney lanyards, he's too big to do it now that he has a Gryffindor lanyard), and put it cross-body. He felt he was a pirate when he did that.
If they are a bit older and wearing shorts/pants with pockets and belt loops, they could do what I've started doing. Don't tell them an adult is doing it, LOL. I've been looping it around my belt loop and putting the pouch in my pocket. I like it better than wearing it around my neck.
Last trip instead of my normal Tinkerbell pouch (the zipper on it has died, so sad), I got one of those clear plastic water resistant things. It's bigger, can hold more cards, and I even put a few dollars in it. The brand is Witz and it's called a "see it safe".