Depends how serious you want to get. As
the snail says above, if you are using toe-clips and straps, shoes with velcro closures will snag on the straps. You could wear trainers, but you will find a shoe with any raised tread pattern difficult to get in to the toe-clips with straps. Trainers tend to have flexible soles too. Shoes used with clips and straps were traditionally laced, and smooth, stiff leather-soled looking similar to
touring shoe. You could use smooth-ish soled SPD shoes of course, leaving the cleat cover in place. Worth remembering that even with straps it is relatively easy to pull your foot out of the toe-clip when working hard, so we also used cleats nailed on to the sole of the shoe. Clipless is much more straightforward IMHO.