You said, "Will a stawberry plant that has formed into a vine climb?"
If it's a wild strawberry the answer is yes.* If it's a cultivated one grown for the fruit, the answer is no.
Uh oh, the white fuzzy stuff sounds like mealy bugs.* Is this what you see?
If you are only seeing just a few, you can use a Q-tip dipped in rubbing alcohol to wipe them off.* Then spray the plants with insecticidal soap every 5 to 7 days for about 3 weeks until you don't see them anymore.
"Does a yam vine bloom and if so, when?"
Yes, when it's mature enough.* I don't know how long that is.
"Potato vine, heart shaped, white morning glory-looking flowers with a mauve base, right?"*
Depends on the variety.
"...how can I propagate this beauty. AND will the potato vine climb, or only trail and ramble on the ground?"
Dig up the tuber and divide it.* Risky as they can rot.* They are tailing vines and will ramble.
"...any suggestions on where to plant?"*
I like to plant mine in pots that are tall enough so the vines cascade over the sides.* Window boxes are nice too.* I like them mixed in with other plants.
Keep in mind that you can research the answers to your questions at google.* Google is your friend.* Terms like:
propagate + potato vine
will often get you lots of interesting 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.