Dovecot cottage is beautiful and unique, as are the gardens surrounding it. The area of Morningside is extremely nice and has a full range of shops and cafes nearby. Dovecot Cottage is a little walk away from Edinburgh Old Town, but the walk down to the town is pleasant.
Edinburgh itself is such a lovely city, with so much to see and do. During our 3 night stay we didn't even scratch the surface. A must for me are the Royal Botanical Gardens - the glasshouses are amazing. But be sure during this time to book for everything including bars and restaurants. A city no doubt I will be coming back to!