Sail to Vestmannaeyjar.
You can both drive to Landeyjahöfn by a regular car (no 4×4 car is needed) or you can take the bus, if you are travelling from Reykjavik, you can go from the Mjódd,bus terminal to Landeyjahöfn. For additional information regarding the bus schedule, please call +354 540 2700 or visit their website here