Welcome to the site, jpm. That is one big plant. However, it is sporting to solid blue and if you want to keep the variegated parts of it you will NEED to separate it at some time because the solid blue will grow faster and eventually overwhelm the variegated parts. And if you decide you DO want to divide it by colour, that's much easier to do in autumn because you can easily see what you are doing. If you decide simply to move it, do so understanding that you will eventually have a solid blue hosta. To move it during the season, you need to dig a large root ball and an equally large hole at the new location. I saw a thread on FB a few days ago of someone moving a huge hosta and once they had it dug, they wrapped plastic wrap around the leaves to keep them together and minimize damage to them during the move. That's not as critical in autumn when they are declining anyway. When you do move it, ensure that the new location has enriched soil and water well and you should be fine.
