I would suggest mountain bike shoes and mountain bike clipless for all your riding. Road bike shoes and pedals just don't make sense for much of anything except just riding. If you want to go into a store or a museum or just walk around, road shoes are impossible to walk in for very far. They basically have no advantages over mountain bike shoes.

For pedals, Shimano M20s are hard to beat. More expensive Shimano pedals may be lighter but the M20 is cheap and durable. As a bonus, they use a regular pedal wrench which makes them easier to install and tighten properly. They are also easier to take off. Pedals that need an Allen wrench to install from the back can be difficult to remove. You are also more likely to end up busting a knuckle on a chain ring...ouch!

Finally, there are other mountain bike pedals out there from Wellgo and others. They don't function quite as well as the M20 and aren't that much less expensive. I've broken some of the off-brands. I've never had a Shimano M20 wear out or break.