From Budapest you can take the HÃV commuter train, the ride takes 30 mins from Batthiány Square, 22 mins from Ãrpád Bridge. For the part within Budapest last stop is Békásmegyer you need a single ticket or a valid pass for Budapest public transport, for the rest you have to buy a supplement ticket. You can buy them together at bigger stations, just say where you are going. You will pay 1,5-2 euros in HUF.
Alternatively you can take a bus from the Pest end of Ãrpád hÃd, but these buses are not coming to Pomáz, they are going on route 11, so you need to arrange something for the rest 2-3 kms. The way easier is the HÃV.
HÃV timetable
