Sharp looking shoes. What brand / make are they?

Without cleats they are slippery devils and might experience an unexpected slip out of the pedal. Also, they really are not designed for long term riding without cleats. If done, will eventually ruin the shoe sole.

Though once you have the telltale marks on the sole its a fairly simple ordeal. I've learned to set them up fairly quick.

Though before starting, confirm the toeclip is appropriate to length. Basically making sure the ball of the foot / sole is over the pedal axle. One's results my vary and depending on duck footed or pigeon toed. (sorry -not a podiatrist)

Key- I prefer a quick set by hot melt glue for the cleats and prior to tack - nail setting will go for a ride. Only a small few dots suffice for the temporary hold. Line the cleat slot up with the telltale marks on the sole. If after the ride and feels off, I take a putty knife and pop the cleat off, re-set and try again. You don't need a fancy hot melt gluegun. (Harbor Freight or look in the Walmart craft section, even dollar stores have a set-up with sample start pack for under $5.)

For tacks, the hardware store usually has the type with tiny barb like shank. Use a needle nose to hold and take multiple tapping to drive home. Large hits cause trouble or might bend the tack.

Other:
If lucky, its nice to acquire additional shoes, rotate usage and if you have different bikes with pedals / and or weather variation. For example, I have a pair with installed nylon cleats for aluminum cage pedals. I also have a pair with alloy cleats only appropriate with pedals having steel cages. Another spare pair (with nylon cleat) so if my primary are soaked wet and I want to ride the following day.

Heel savers are readily available at Walmart or the like. Simply a small anti-slip piece that tacks on the rear edge of the sole.