I love your name!* :)*
Moving clematis is risky and tricky at best.* Most sites recommend to plant a new one and forget about moving them.* I moved a Jackmanii twice before I knew better and it's never really done well.* It's been in the same place for 5 years now and is just starting to fill out.* You might want to consider taking cuttings for insurance and then attempt moving it.* I have several sites for you to refer to. Take a look here for moving a clematis.* All your transplanting questions should be answered here.
Here's how to take cuttings.
You mentioned that you have one in a container that you would like to share with a friend.* You might want to GENTLY dig down to see if it has rooted where you might be able to separate it.* If not, consider taking cuttings.
Clematis like lots of organic material in the soil so I would suggest adding lots of compost to the entire planting area.* After all, you only get the one chance to amend the soil when you plant these beauties.
Here's info on the different pruning groups.
For id of your plants you could use these sites.
When weeding, the best way to make sure you are removing a weed and not a valuable plant is to pull on it. If it comes out of the ground easily, it is a valuable plant.