Plant your trumpet vine in an area with either full or partial sun. While the trumpet vine is easily adaptable to partial sun (even shade), it will flower most frequently in the sun. Also, the parts of the vine with access to the sun will flower more often than the parts that are shaded. If your vine is not flowering as you would like it to, consider moving it to a place with more sunlight, or trimming surrounding bushes and branches to give the vine more access to sunlight.
Water the soil around your vine frequently. The trumpet vine flourishes in moist soil, and, while it will adapt and probably survive in dryer soils, it will be better suited for moist soil. If you live in a warmer climate, you may have to water the soil once a week, especially in the summer.
Trim your trumpet vine frequently. The trumpet vine loves to mingle, so if your vine starts to creep throughout the floor of your garden, colonizing other plant populations, you can simply stop the spread of the vine with your lawn mower or large garden shears. Also, according to Floridata, "The vines should be cut back in winter to keep the vine in bounds."