No, you shouldn’t and here is what the staff apologists have to say in answer to this question.
If you aren’t sure then ask your pastor or DRE in your parish about a study. There are lots of them out there for Catholics that are very good. If they don’t have one then ask if you can volunteer to help lead one, but I would never turn to a n-C group for any such thing because 1) the church discourages it, and 2) it’s their party and you will find your faith challenged at almost every turn, especially with their fundamental error of Sola Scriptura and its deceptive concept that we must read and interpret scripture for ourselves. Basically, all you’ll get is their personal opinions without the benefit of the 2,000 years of scholarship that the church has.
Socializing your child is not a good reason to do any of this. A good parish day care would be far better…and again, check with your parish.