There is an overwhelming selection and all different styles. First need to decide, road shoe or MTB shoe? pedals are made for different functions. Hopefully you trust your bike shop and have someone there to show you the different pedals and explain how they work etc.
I use the Dura Ace pedals on my road bike. Love them but they aren't everyone's cup of tea. Before used Speedplays, loved them as well but the small platform bothered my foot. The larger Dura Ace platform solved that problem. Strangely I didn't miss all that float I thought I needed.
On my MTB bikes, I use the Time ZControl platform. Really like these pedals but they aren't good if you don't have enough leg strength to twist out of the cleat.
The Crank Brother egg beater pedals (and there are many styles) are good. As are all the Time and Look pedals. I am not a fan of Shimano SPD's but I would say they are the most popular pedal on road and dirt. Again your bike shop should help you sort all this out. And remember its not just a pedal but a pedal and shoe system you need to look at.
PS: If you get the ZControl or Crank Mallet, you can ride without engaging the cleat, i.e. on top of the pedal.




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