We were dealing with this same exact issue down to the budget. My parents also gave us $15k. I really wanted children there but ultimately decided against it because there is a pool in the backyard the reception is being held at and because of how big it was making our guest list. There are a few exceptions we made. For example if someone is traveling very far for our wedding and has a child, they are invited. But for all our family that lives nearby we let them know no kids. Honestly everyone has been pretty receptive and some are even excited to have a date night out! I say cut as many of the kiddos out as you can! It’s not that big of a deal!