You won't have any problem with the rhodie. They can be transplanted any time of year, as long as you give them plenty of water after you get them back in the ground. I've even moved them in July and August and had them do really well.
They don't have a very big root systems. I did have to have a couple of guys lift one that was 8 feet tall into a wheelbarrow and move it for me, though. For rhodies and azaleas up to about 4 or 5 feet, I just set the root ball on a tarp and pull it to the new location. The root ball of my 8' tall plant was only about 2 1/2 or 3 feet in diameter by about 18" deep. For a plant that's only been in the ground for 1 year, I'd guess not much bigger than when you took it out of its original pot.
"Isn't it enough to see that a garden is beautiful without having to believe that there are fairies at the bottom of it too?" - Douglas Adams