Thanks for the reply! I think that BB2.0 is the direction we're going. We're going to take time as we implement the system, but it definitely will make life easier for us.
For a little insight, it appears that this online software is just a retail store's reward system jerry-rigged to work for childrens' church services. The tutorials on the website help you set up with kid's church in mind. Since it wasn't originally meant for a church environment, some preparation is required. Thankfully, you can probably do this in an hour or less.
The biggest thing for me is that I can import my kid's church members into the system via copy paste from a .csv file. Generating these kids (all 1638 entries) into the system is incredibly easy, and you can put as much or as little info into the system as you like - names, phone numbers, even keytags.
I'm not associated with the website or service, and since it's a paid service I won't link it here. It is the answer I was looking for, though your mileage may vary.