Technically the second is correct, but it is 100% acceptable to use the first option unless you're trying to be 100% gramatically correct. Casual speakers, and even formal speakers use both all the time.

They're both correct, and there's no obvious difference between them.

Webster defines "onto" as "to a position that is on (something, such as a surface, area, or object)". Therefore, "Put your feet onto the pedals" would be quite correct. Of course, 95% of the time, you'd hear a native speaker say "Put them on the pedals". ;)

Put your feel on the pedals :)

I think the first one but I'm not sure