Hi Andrea,
I like the
MKS Lambda pedals but do not use straps any more. They are long and wide pedals so they have a large platform and a decent amount of grip. I like wearing my
510 Dirtbag shoes because they have a relatively sticky sole, are reasonably stiff and are comfortable on and off the bike, especially in cold weather. I don't like wearing my Puma shoes on longer rides because the sole is too thin and flexible.
I've noticed that switching shoes changes the fit of the bike noticeably. For example, I'll often commute to work in my Pumas, which have a thinner sole than my 510's do. If I ride a moderate distance in the Pumas I can feel it in my knees - I keep the bike fit for my 510's so I wear those on longer rides.
Eric