How to get to Vestmannaeyjar
Take the ferry Herjólfur or fly with Icelandair from Reykjavík

You haven't seen Iceland until yo've visited the Westman Islands
Herjólfur Ferry
Herjólfur sails from Westman islands to Landeyjahöfn which is located on the south of Iceland. 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 could go from the Mjódd bus terminal to Landeyjahöfn
If you have a car you can take it with you over to Westman Islands.
The ferry ride takes 35.minutes.
Icelandair
You can fly from Reykajvík to Westman islands with Icelandair. The flight takes about 20.minutes.