Doesn’t look like there’s much knee room for any practical seating. The pros are going to ask you to post more pictures and measurements.

I’d look for stools with backs and arms, not swiveling, with foot bars high enough for the kids.

Sorry bad spot for seating with the cooktop there . I use adjustable swivel stools for kids low backs to avoid whacking the counter and really kids rarely lean back in a stool . Looks to be 9" overhang there not grat for anyone but kids You have a huge space whay such a poorly planned kitchen which should never have had a waterfall island style wise. BTW I love a pop of color for stools the tuquoise of the kettle could work .

No stools. Who wants to sit in front of a hot cooktop getting spattered. Very poor design.

Islands are never the place for a cook top. But agree kids sitting near--NEVER. Adults who can choose not to be near a cook top--even when not on --will choose to stand over sitting near.

The only stools that work for me have a back, have a swivel, have upholstery. Kids mean vinyl and no swivel so ya you have a conundrum.

Save your money and redo the kitchen with type of island seating you want. What ever happened to large islands without a sink or or stove if the intention is for additional seating??

This set up is like Benny Hannah. They need code for distance between heating elements and seating.

Maybe a rectangular saddle stool, might fit better under the island than square or round.

I also wouldn’t do stools here for all the reasons already mentioned.