You ideally want a high-intensity discharge light of 1000 watts. This will run you several hundred dollars, plus a significant jump in your electricity bill. You may be able to save a little bit and muddle by with a 400 or 600 watts but your results will be less than ideal. I tried this on tropical hibiscus, and even supplemented by some daylight from a window in the room, they stretch out and don't make buds. They do stay alive, unless I let the bugs get out of hand, but they aren't much to look at.

Another option you may want to consider, depending on the temperatures in your basement or elsewhere, is storing some or all of them dormant or semidormant. For this you need a cool (above freezing), dim space. They look pretty bad all winter, but you have WAY less problems with bugs, and watering is very minimal. I can give you more details if you're interested.

I've never grown jasmine but maybe I can help you with some other tropicals. What specific other types of tropicals do you want to overwinter?