Most of what comes out of a remodel is fine. The limits come from Connecticut's recycling and disposal rules and from what the receiving station will take.
Connecticut makes recycling mandatory for residents and businesses alike, and it bans a short list of items from disposal outright: televisions, computer monitors, printers and computers, car and other lead-acid batteries, and grass clippings. Keep all of those out of the container, since one television can get a whole load turned away.
Several other things have their own route rather than the trash. Scrap metal and appliances, rechargeable batteries, used motor oil and leaves all go to separate programs. Paint, mattresses, tires, gas cylinders and mercury thermostats are handled through state product stewardship programs, which means a retailer or a collection event takes them back.
The usual container exclusions apply on top of that: hazardous waste, liquids, wet paint, solvents, fuel, propane tanks and asbestos. West Haven's own crews will not pick up hot or warm ashes either, and the receiving station turns away loose household garbage bags from out-of-town loads.
If you are holding something and you are not sure, ask your account manager before it goes over the rail. It is a much cheaper question than a rejected load.