did you mean to say you have a d60 and want a lens for portraits but don't know which lens are compatible? whats your budget cause there are many different lens, and if you have a small budget, would you mind getting an off brand lens like sigma or tamron?
I do not use the D60 as I use the D80, 300 & 700 but you should find that 99.7% of Nikon lenses will fit your camera.
The lens I would recommend, to start with, is the Nikon 50mm f/1.8D. It is, I believe, the cheapest lens Nikon produces. I use it for portraits and landscapes, great lens, everyone should have one.
The 50mm f/1.8D will not auto-focus on your camera.
If you want a fast prime, the new 35mm f/1.8 G has a built-in focus motor; I have the older 35mm f/2D, and I love it, though I do not feel it is a great portrait lens.
If you have the 18-105 VR (which I believe is the kit lens for the D60), you might try it out as your portrait lens. You'll have a bit of an issue with subject isolation, but it definitely covers the 50mm-85mm focal range that is ideal for portraits...
i just looked up compatability and it said the d60 will auto focus with the 50mm f/1.8 ... now that i recall it i remember lending my friend the 50mm and she had a d40 and she had to manually focus it so with that. the 50mm is the best budget lens you could buy... new i think its like $120
According to the site you linked to, they are compatible, but the 50mm will not auto-focus. The D60, like the D5000, D40, and D40x, lacks the built in screw-drive focus, so cannot auto-focus non AF-S lenses.