Another thing to look at, are samplers/compilation albums aimed at kids. Look them up at online music stores, look at the tracklist, prelisten and decide which sound like you’d want them in your set.
One thing though. You might find that most of the music needed is not in your regular collection. And even at 1 dollar per track (better to get the actual compilation album for 9 bucks for 22 tracks), this kinda adds up if you have to play a 3 hour gig (needs about 120 tracks) and you need to buy half of them just for this gig. Make sure you have this covered in your fee as most of the tracks won’t be used again unless you have another kids party. So you are essentially buying them for one-time use. Best to make sure the customer pays for it.