Definitely check the EWG link someone else posted. They test all the sunscreens (and all sorts of other stuff) and rate them based on how toxic the ingredients are. Many of the sunscreens out there are so full of carcinogenic chemicals and hormone disrupters it is horrible to think we are slathering our kids and ourselves with them.
On DD's face I try to avoid the eye area. It's tough. They tend not to be all that compliant and even when I am putting it on myself it sometimes melts into my eyes. Also I've tried some sunscreens that were just so thick that it made it all the more difficult.
I also try to use the bare minimum of sunscreen and use hats and clothes with SPF, makes it much easier on me since DD hates the sunscreen and much less a dose of chemicals on a regular basis.