A mid tower case is smaller than a full tower case. But you don't really need a full tower case unless you are building a high end machine with a lot of components or liquid cooling.
A mid tower case will support itx, mATX, and ATX mother boards. Most wont support an eATX motherboard, but you don't need a eATX motherboard. If you did, you would know the difference between mid tower and full tower.
The Corsiar 570x is a very good case and will be much easier to move around. Just be prepared to wipe off a lot of finger prints. Unless you are wanting to ad a custom loop for liquid cooling, you really don't need a full tower.
But if you want a full tower, I have a Phantecks Ethoo Luxe Tempered Glass and it is the best case I have...