They do sell lids to catch the splatter. They are universal lids (to fit all sizes) and are made of a mesh that will let the steam escape but catch the splatters.

They also sell little pie pan type lids to fit over the other burners you are not using.

Buy a degreaser like Greased Lightning to clean up grease splatters.

Also if I am making a big messy production ofs omething like fried food for the masses or a big batch ofsjelly, I will cover some of the cooktop with foil.
If you clean up your grease spatters righta way they wont' become hardened....and any of the degreaser sprays works very well.
Linda C

thanks for that. I'm sort of wondering how to keep the other 3 burners and the cast iron grates from getting totally grease covered if I don't get the splatter screen on in time. (the family isn't always as careful)My old electric stove was much easier to keep clean on a daily basis. Maybe this is just one of those cases where I need to take time to get used to something new