Telephoto zoom lens is great for shooting children where getting too close might spoil the spontenaity of the action. Multiple shooting modes help capture action, and bracketing exposure option ensures perfect exposure. Smaller and lighter than most DSLRs but all the same features. HD video also a plus.
https://www.amazon.com/Sony-Mirrorless-Digital-16-50mm-55-210mm/dp/B00NO1T55I