By choosing evergreen you will select woody plants whose leaves are persistent throughout winter...:

...both those with needle-, or scale-like leaves, like many conifers...:

...and those with broad leaves, which usually are somehow rigid and leathery in texture:

By choosing deciduous you will select woody plants whose leaves, which usually are not rigid nor leathery, fall in autumn:

Some woody plants are semi-evergreen, i.e. they shed or not the leaves in winter depending on the local climate: they appear selecting both options.