In North Sealand, you can easily get around with buses and trains. Starting in Hillerød Lokalbanen travels to Elsinore, Gilleleje, Tisvildeleje, Frederiksværk and Hundested. There are also a lot of coaches in the entire region. If you are arriving from Copenhagen and wish to go to North Sealand, you can use both the Øresund train to Elsinore and the S-train to Hillerød. See more on the Journey Planner.
It is free to bring your bike on the s-train and local trains, but you have to buy an extra bicycle ticket for the Øresund Train and the buses. Ticket Controllers and bus drivers decide if there is room on the train/bus. Local restrictions on hours where bicycles are unwelcome in trains and buses can occur, check before boarding your transport. These hours are usually during the rush hours. Read more about bikes on public transportation