There isn't city trash pickup in most of New Hampshire. I'm not sure if there is any trash pickup run by a local government. You can contract with a company to pickup your trash or you can bring it to your local dump - the local dump is called a "transfer station". You can drop off your garbage and recyclables there. In most places you will need to get a residence sticker from your town clerk to use the transfer station. The town clerk should have information on what you can bring there and when it is open. Check the hours of operation while in the office. The transfer station for the town I live in is only open 3 half days a week. The plus side of the transfer station is that most of the people in town go there, so it is a great place to get petition signatures.