I'm going to recommend a trio of lenses. You can pick one of them or two, or all three if you're a rockefeller. Two of them aren't too spendy but both should give you good results, the third costs a mint but is as close to optically flawless as I've seen in a long time.
The first problem you're going to run into is that the D60 is AF-S only. Meaning that if the lens doesn't have the AF-S designation it won't autofocus with your camera. Nikon has a lot of AF-S lenses, but they've also got a lot of non AF-S lenses, that's why people have to spend more to get the D90, one of it's benefits is being able to autofocus with all lenses.
Not to worry though, these 3 lenses are all AF-S.
#1 AF-S DX Nikkor 35 mm f/1.8 fast aperture gets you good performance in low light, and also helps with subject isolation. This is a new lens and it's not FX compatible so I've not paid too much attention to it, but people seem to really like it.
#2 AF-S Nikkor 50mm f/1.4G same as the 35 mm lens, this one is just a touch faster, it's sharp and focuses fast and accurate. I've used this one some with my D700 and I liked it a lot. The thing to know about this vs the 35 mm is that it's a longer focal length meaning that you can't capture as much of the scene as you could with the 35 mm, you will have to take a few steps back from where you would be with the 35mm to capture the same image. I love 50mm's and I used a Pentax 50 mm almost exclusively on my K10D last october when I took the family to disneyland.
#3 AF-S Nikkor 24-70 f/2.8G ED This one is extremely expensive, it's a lens designed for demanding professional shooters, so it's razor sharp, built like a tank, heavy, and weather sealed. It's got a new lens coating that Nikon has been using lately which helps with flare resistance. The 24-70 is part of the Nikon shooter's "holy trinity" (14-24 f/2.8, 24-70 f/2.8 and 70-200 f/2.8). This lens would undoubtedly be the most versatile, it covers a relatively wide angle at 24 mm all the way to a short telephoto angle at 70 mm. The max aperture is a constant f/2.8 not quite as fast as the other two lenses, but still fast. If you look at your kit lens you'll notice it says f/3.5-5.6 which means that as you zoom, the lens can't open it's aperture as wide, letting less light in and reducing your max shutterspeed. Not so with this lens, which is a big part of why it's going to cost you about $2,000.00. Which is undoubtedly more than your camera, the 35 mm the 50 mm and a nice flash combined.
If it were me, I'd probably get the 35 mm and a hotshoe flash like the Nikon SB600 and call it a day. That would get you the results you're looking for. If you still have some cash and want some more versatility, then perhaps look into the 50 mm I suggested. The last lens is absolutely fabulous, but you've really got to know how to use it to justify the price so if it were me, I'd probably pass on it. In the meantime, check into your default settings on the camera and see if the color balance has been muted down somehow. I generally like to bump up the saturation slightly as well as the contrast. You should play with those settings and see if you can get more pleasing colors out of the camera, you may not end up needing a new lens.
Those are my suggestions, take them for what they're worth.
SLC
