If you like horses and nice views you should get yourself to Traprain Law. The hill is a volcanic rock. It does not take long to walk to the top and as you walk, you will never be alone there, thanks to Exmoor ponies. Those beautiful creatures have been introduced there to graze and and help with improvement of the quality of grassland.
They seem pretty friendly but I would not go too close to them. They might have been brought here by humans but they are still wild animals!
This is a fantastic project set up by a charity and you can find out more about it in this article
Keep walking to the top to see the whole of East Lothian… It is really worth it!