Whenever you have individual shapes, both their fills and strokes can be selected and moved individually. However, if you want to move them all together while maintaining their spatial relation to each other, it can be a bit of a pain trying to select them all at once repeatedly, and even more annoying to move them one at a time and then try to reposition them in relation to each other.
What you can do, instead, is group them all together so that you only have to select them once. You can select all the objects that you wish to group by drawing a bounding box around them using the Arrow tool, or else by clicking on one before shift+clicking to select additional objects.