In which habitat is one likely to find plants that have developed extremely large, broadleaf, evergreen leaves for gathering light, epiphytes, and climbing vines that strangle other plants?

The answer is a tropical rainforest.
The tropical rainforest is an ecosystem where temperatures are high, and there is enough rain, so plants grow rapidly. This ecosystem is characterized by very large trees, and herbaceous plants must adapt in order to survive in these forests. Because of the high trees, the light is reduced in the lower floors. Therefore, some plants developed large, broadleaf, evergreen leaves to gather as much light as possible in the shady floors of the forest. Epiphytes use those high trees for physical support. Their roots are partly attached to a tree, and partly are free in the atmosphere. This way they can live in higher floors where there is enough light. Similarly, climbing vines crawl on the other trees until they reach the light area.