What is most important is a static dissipative bench e.g unpainted wood is ideal. You can put an antistatic mat if you want, but in a fairly humid environment wood is fine. I dislike pvc antistatic mats that melt under soldering heat, and find wood a better work surface.
If it has a metal frame then connect that to mains ground via a 1M resistor.
Train your kids to work with bare arms resting on the wood, and to contact the bench first
A bare wire or metal angle/strip/foil connected to mains ground by a high value resistor (1M) stapled along the corner or front edge where you will touch it is another common idea.
Chair covers can sometimes be static generators - staple cotton fabric on if this happens. Modern chairs can be a bit of a nightmare of insulated plastic bits.
Bare feet not flip-flops-on-vinyl are better.
Make sure to have an earthed soldering iron. Low voltage soldering stations are much better. If it is chinese you must test it is actually grounded. (I have seen two that weren't grounded, and one of them, supposed to be a low voltage iron, but actually had the tip wired live to mains).
Get a plug-in RCD or change the wall socket for an RCD/GFCI for the whole workbench. (saves your ears from swmbo complaining its too dangerous for a 4yo to be rewiring the toaster). Arrange to have a single visible switch that can turn the entire work bench off at one point. Your kids love to leave soldering irons, glue guns, flame throwers etc running overnight. (I never do this, no siree). Fires while we sleep are my #1 home worry.
Static disippative vinyl floor is common in many manufacturing industries not just electronics. Asking at an industrial flooring supplier is likely to get you an offcut of vinyl a good size to go under and around the bench as far as your chair rolls. (industrial vinyl is also solid not paper with a film of vinyl)