Certified GKH Gardening Expert
Boxwoods are popular for this. They grow slowly so do not need to be repotted often. You also might try looking at Inkberry. It has a similar look to boxwood. It grows slowly as well, but is typically a little more cold hardy than boxwood and can take the winter better.
This article will help with the appropriate soil mix for your container evergreens: https://www.gardeningknowhow.com/special/containers/proper-soil-mix-for-evergreen-container-plants-and-trees.htm