How do you dispose of styrofoam packaging?

You can search nearby recycling centers on Google, then call them, because some recycling centers recycle Styrofoam, but some do not recycle, you have to ask them if they do Styrofoam recycling. If you get a positive answer, you can go.
But before searching for a recycling center, you can first find out whether your community is providing recycling services, and as far as I know, there are more and more communities that are now do Styrofoam recycling.