When you are ready to scoop your litter boxes, what do you do with it?

I want to change what I have been doing and can't seem to find another method.

Right now I use a plastic grocery bag, scoop all the boxes into that, and put it in the household trash.

The problem is, the plastic bag on its own doesn't go in household trash, it goes in the recycling bucket. So I am adding to the landfill here with something that they really don't want in the landfill. I am trying to do something "green," more eco-friendly. I thought about getting paper bags at the grocery instead of plastic, but I think that would be very messy for scooping and the bag would be way to large. I would be getting fewer bags because the paper holds lots more groceries, and I am barely getting enough grocery bags as it is. (Also, I want to get away from the whole grocery bag thing and take my own cloth bags.)

Any suggestions?