if you want to go LED, LED lights (usually the lamp and the case are one and the same and non-separable) can be as bright as you want, there is complete freedom in the design (how many actual LED chips to place, where to place them, with what kind of lenses and reflective surfaces), you just have to try them all in a shop.
You could also think about retrofitting yours but idk if you can get it as bright unless you use a retrofit LED lamp (which idk if it's available for your lamp).