Often skipped but such a pretty group of islands! The main and only inhabited island is Heimaey. Arriving and deperarting by boat to Heimaey is so beautiful too. You can also fly to the island. For the most recent ferry/flight schedule and prices see Visit Westman Islands
If you have the time for it and you're a bit of a hiker you can do everything on foot, get the first boat in the morning and the last one in the evening. That's what we did at least! But we advise to bring your car, so you can take your time a bit more. This island is filled with a whole bunch of places of interest such as Elliðaey, Eldfell, Elephant Rock, the Puffin Lookout, and the town of Vestmannaeyjabær.