Shop around for shoes that fit you well. There are lots of variations in fit to go along with our many foot shapes. Do you have an REI near you? They typically have a decent selection in-store and many more online, with a generous return policy.

https://www.rei.com/c/cycling-shoes

I prefer a shoe that lets me adjust it (ratcheting upper strap or Boa cord) while riding, since my last few pairs seemed to loosen on my low volume feet after wearing for 10-15 minutes. But my wife has been quite happy with her last few pairs with all Velcro closures and her latest with laces.

As others have mentioned, the SPD cleat pattern (2-bolt) is found on most walkable shoes. If you have a shop that sells used bike equipment, used SPD pedals are a great value. Check that the spindles turn smoothly. Used pedals probably won’t include the SPD cleats, put they are inexpensive. Just be sure to get the brand that matches the pedal. Shimano are most widely available, and their pedals seem to last forever.