Just wanted to address part of your post - you indicated at least part of your needs was kids' sports both indoors and out. No lens you are considering is capable of indoor sports. If you specify which sports I can offer suggestions.
No lens you're considering is particularly good at outdoor sports either. The sport will determine the focal length you need. So what sport, and what level and where will you be shooting from?
How important is the sports work to your needs? Sports shooting is VERY equipment intensive. Quality results require quality lenses. But there's no need to invest thousands of dollars in lenses if sports isn't a big part of your needs.