We have a carpinus in our front yard that the city planted four or so years ago. I was wondering what kind of pruning (if any) these trees need. I've included a photo from last year showing the shape of the tree. This year, I noticed several shoots coming up from around the lowest branches -- see second photo. Should I leave these shoots or remove them? Should the only pruning I do be to remove dead/damaged branches, and just leave the tree alone otherwise? Thanks in advance.