Texas publishes no long banned-materials table for a mixed load, so the limits here come from the receiving facility and from a short list the City itself publishes.
The City's own transfer station will not take electronics, medical waste, hazardous waste or anything with a warning label, dead animals, or batteries. Treat that as the baseline for any Georgetown container.
Out of every container: hazardous waste, liquids, paint, solvents, fuel, oils, pesticides, pool chemicals, asbestos, propane tanks and anything flammable. Televisions, monitors and other electronics go to separate collection. Appliances holding refrigerant are handled on their own, and so are tires.
Household batteries are easy here: the City takes them at the Georgetown Public Library circulation desk on W. 8th St and the Georgetown Municipal Complex lobby on Industrial Ave. Larger batteries go to the City's hazardous waste events, where registration is required.
Everything a Georgetown renovation or build actually produces is fine: wood, drywall, roofing, siding, flooring, cabinets, insulation, fixtures and general cleanout material. Clean limestone, brick and concrete are accepted as well, and they are cheaper to handle in a container of their own.