There's a supplier named Al Najdain- their office is located at Salmiya, layla Gallery first floor.
They offer wide range of professional and home billiard tables and accessories along with foosballs,pingpong, darts, etc.
For the billiard hall they have also on the same building layla Gallery in Salmiya and 1 in Kuwait Sports Sea Club
(both snookers and billiard tables available).
I hope these help.