i go back and forth btwn the two on my bikes, and they both have their strengths and weaknesses. the platform pedals w/ straps are heavy and super wide. get a little hairy and breath-holding on the turns. however, they're suuuuuuper comfy and makes skidding and backpedaling a lot easier and more secure
clips and straps will mold to the one shoe that you're wearing, but i find that they hurt my toes after a while (size 13) and are a bit hard to adjust on the fly due to unthreading them out of the metal clips.
but like i said, i go back and forth and find that i just love riding a bike......