In reply to Sl@te Head:
I have some friends who lived in the Faroes and are making a documentary. They've done some blog posts, maybe some of it is inspriring:
https://www.letsgoslow.com/faroetale/
I visited them last year and went up Slættaratindur, easy walk, great views if the weather's good. I also did the boat tour from Vestmanna along the sea cliffs. If the sea is quite calm the boat slaloms between the sea stacks. Very fun.
The famous waterfall in to the sea is very good too, although you can just drive to it.
And if you want to climb, try this:
I think you'll be there at the right time to see the puffins too.
Have fun, it's a wild place.