These are small LED lit metal flush-style push buttons, each item you buy is one button, you need to choose the style you want, I have the below…
These are small buttons, the momentary variety are ok for my adult sized fingers, the latching ones require a considerable press to get down far enough (still can do it, just not entirely comfortable), it would be better with a poking stick or kid sized fingers – which might be an advantage.
Each button is lit by LED, you should provide 3 to 6v to the LED pins (polarity doesn’t matter). The switch does not control the LED, that is up to you to do how you want to do it.
The momentary buttons have 4 larger terminals, the 2 slightly rounded ones are the LED and the other two are the switch contacts. The latching ones have 2 larger terminals for the switch and two small pins for the LED.
Hole size 12mm should do it, maybe 12.5, the bezel is approx 14mm diameter.
I do not have current or voltage specifications, typically this sort of switch you keep to 12v or so max (remember the LED is 6v max) and use for low current maybe 1 or 2A at the very most (really you would use this to switch a relay or transistor not the main current).