To get to Coleraine by car, take the M2 north from Belfast and continue onto the A26 towards Coleraine. From Derry/Londonderry, take the A2 towards Limavady and then continue onto the A37 towards Coleraine. There are also regular bus services from Belfast and other nearby towns.
Alternatively, you can take the train to Coleraine Station which is on the Belfast-Derry/Londonderry line. The station is also serviced by trains from Belfast, Dublin, and other nearby cities. From the station, you can take a taxi or bus to your final destination.
If you are traveling from the Giant's Causeway, you can take the scenic Causeway Coastal Route (A2) which passes through Coleraine. From Portrush, you can take the A29 towards Coleraine or the train from Portrush Station which is also on the Belfast-Derry/Londonderry line.