About plastic bags

A question from Ms AngKH:

"If we cut down on use of plastic bags, what are we to use for our rubbish?"

I kinda don't have the problem at home coz no matter how much my family cuts down on use of plastic bags we also seem to have enough spares (those collected when we forget to bring cloth bags out and such) for rubbish. but yes someone please help solve Ms AngKH's problem.