You should get on a bus from Kamakura Station to go to Jomyo-ji, which located on the Kanazawa Kaido. You will be relaxed in the large precinct and rich nature.
There is a tea house named Kisen-an. You can have a tea while watching Karesansui (Japanese rock garden). The tea house is a new building which was restored.
Going up the mountain, there is a restaurant named Ishigama Garden Terrace. Little expensive but you can have a freshly baked bread in stone oven.
The entire precinct is a national historic site. Jomyo-ji is one of the my favorite places, too.