Q.gloriosa lilies
How to transplant them? I discovered a couple in the yard of the place I am renting. Without any effort on my part they have increased over the years. However, mostly they climb up a bottle brush tree. I have tried steering them to a trellis, but they keep popping up all over the area.

You'll want to wait until next spring to transplant them, and all you have to do is make sure you dig up as much of the tubers as possible, otherwise they'll keep coming back in the same spot. This article may help you: https://www.gardeningknowhow.com/ornamental/bulbs/lily/growing-climbing-lily-plants.htm?utm_source=ReviveOldPost&utm_medium=social&utm_campaign=ReviveOldPost