I'm not a professional by any means but I currently own a Rebel t3 but looking to get a good camera that's much smaller as we often times leave the Rebel behind since it is so large. I think I've settled on the Sony a6000 but I'm trying to determine what to do lens-wise. I don't want to make a huge investment up front so I'll probably only go with one lens for now (either the kit lens or buy the body and one other lens).
My question is that most of our photography involves pictures of our children and many sports activities (baseball, gymnastics, skiing). Would I be best served by just getting the kit lens right now, or is there 1 specific lens that would get me by for awhile and allow me to take good photos of the kids in their activities?