first to address the first part of the quote, you do not need photoshop to fix your digital pictures, I actually rarely do any post process and have produced some decent shots from my D60, (i'll post them at the end for reference and some ideas of what you can do.
as for the artistic eye, yeah that seems to be something that others have better then some, but it is something that with practice you can train (just like sports you need to practice). Next time you are out shooting, think about how the object is there in front of you and try and think of seeing it in some way that makes it interesting, you can make even the most boring things interesting with a good point of view or an interesting style.
Also what program mode(s) are you shooting with? I'm assuming that you got the D60 kit that comes with the Nikkor 18-55mmVR, and the 55-200mmVR. so the lengths there are some decent beginner lenses (due to budget restrictions I'm stuck with the 18-55 for a it bit until I can get my 70-300)
so just some thigns I think might help, I could be entirely wrong, I am no where near pro either. Also remember the rule of thirds when you shoot to help out in the begining.
here are some things I've shoot this quarter (all done in full manual) for ideas and some exapmles of thinking of framing, point of view, etc.