Sounds to me like you've got the 46G All-Glass bowfront, with the included bulb. If so, I've got the same tank.
I don't know exactly how many watts would I need to grow plants that require high lighting.
I agree with LL, you'd need 3.5-4.0 watts per gallon for high-light plants. That pretty much rules out NO (normal output) fluorescents.
However, at that light level, you will also almost certainly need to inject CO2 to keep the plants healthy. If you go the DIY CO2 route, you'd probably need three 2-liter-bottle generators.
What would you recommend doing with my tank if I want to keep live plants?
You should be able to successfully grow plants with your current setup, if you stick to only low-light plants. I've had very good results with hygrophilia polysperma, marimo balls, java ferns, java moss, crypt wendtii, anubias, wisteria, and hornwort. And "pretty good" results with amazon swords, water sprite, and corkscrew vals. Cabomba, not so good. It grew well enough, but got very "leggy".
If you want to go for higher light, the first thing you'd have to do is make sure you have the hood that's made entirely of glass (All-Glass calls it the Versa-Top), not the one that's mostly molded plastic. The plastic one isn't very plant-friendly, as not only can you not add a second light strip, but the molding around the single, narrow, glass "port" blocks significant light, even from a single strip -- when I switched to a Versa-Top, even with just using the standard light, the increase in the amount of light in the tank was pretty significant.
After that, what lights you choose are up to you. Me, personally, I wanted more light, but didn't want to be forced to inject CO2, so I just went up to a twin-tube NO strip, for 60W of light. I sometimes run that in conjunction with the original single strip, giving close to 2wpg, but the single strip hangs over the curved corners of the tank a little bit (and, not surprisingly, with 90W and no CO2, I started getting significant algae growth).