Several years back I campaigned to get a high school football team placed in our school district. Long story, didn't happen.
Anyway, part of the presentation I had to give had to do with injuries. Everyone thought football was too dangerous. Actually basketball is number one for sport related injuries.
Those kids are so padded up it is hard to get hurt. Yes, they'll get banged and bumped and bruised and of course there is the occasional sprain or break but heck, they could walk down the street and twist their ankle on a pebble.
Go for it! I had 4 boys and only one played football. He didn't play for long because after pop warner he couldn't continue on. He loved it and didn't get hurt.
BTW: I am a HUGE football fan so maybe I am not the best one to answer! LOL