Welcome aboard. You'll always find good advice and tips so here we go...
Round, egg, football shaped stones generally work well. I collect them all. Tennis balls are fun and weigh about 2 ounces (58 grams), give or take which is about at the bottom end for effective weight for throwing objects. I also throw rubber balls I found at a party favors store. These days I like throwing in the 4-ish oz range, anything that I think is the right weight, size and shape goes into my pocket, then into my bucket, then into my sling then off to the mythical land of "away".