Originally Posted by StephenH

You can have "paralysis by analysis". You can spend 500 hours analyzing pedals and shoes and options and prices and advantages.
Take the pedals you have now, go down to your local bike shop, ask to look at shoes that fit them, buy something that fits your feet and your price range that looks pretty. (If you read the sales blurbs, each is better than all the rest, etc. If you pay more, you get lighter stiffer shoes, generally.) Then go ride your bike.
If nobody local stocks your size, try online or order through your local bike shop. If you have size 13 or 14 shoes, that's likely to be the case.
If you're riding a road bike, don't plan to do a lot of walking around in the shoes, you can switch to "road" pedals instead of "mountain" pedals. Not a lot of reason to pick one over the other, tho.