Thanks for all the replies. I've heard of most of these programs mentioned, but I wasn't sure how easy they would be for a novice 3D user. I used Autocad 2002 for years to do panel layouts and ladder diagrams at my last job. Since we didn't build machines - only control panels, I've only fiddled around with 3D. Most of the time I was trying to learn it (3D) as a hobby.
I really liked using Autocad, I even learned a bit of AutoLisp to write a few simple macros. I've tried demos of "cheaper" drafting software, but they often feel just that: cheaper, or they seem more designed for home furnishing layouts.
I guess what I'm looking for is a fairly smooth transition from 2D to 3D. The various generators in Autocad Mechanical sounded like a big help to me, even though it isn't true 3D. The machines we build are not very complex at all. It would be a huge help to me and our machinist if we could draft all (or most) of a design out beforehand.
But as I said, I don't think my employer will buy us any drafting software. It's even been suggested that I should buy it myself. Perhaps it's just me, but I don't think that's fair.
Regardless, I may have to check out Solidworks when I get home (no flash on this computer). I like to learn.
Thanks again for the replies.