I have never tried to transplant an MG, but i don't know of any special care. If a Morning Glory would speak to you it would say "just get out of my way and let me grow, why are you fussing so much, don't you have anything else to do"
. I had one in a container that i was going to transplant early this year but it had made seeds and they grow quickly in the heat, so i just stuck a seed in the ground and almost instant MG. Another way to propagate would be to take a cutting a few inches from a node and just plop in into the ground, water regularly until established (these methods assume warm temps). MG's just love to grow. Of course, they would appreciate it if you would take steps to control the bugs that might be eating it. The variety that you have, by the way is "Grandpa Otts" and the seeds will grow true to the parent plant. I haven't seen your veranda but it sounds like it would grow nicely around columns and such. There is a beautiful white flowered night-blooming MG (Ipomoea alba). The flowers are very large and look like silk, and it is fragrant.