I started with Lightwave, and have used it a fair bit. Haven't recently, as I was on Lightwave 7, which was only an OS 9 version. Anyway, I really enjoyed using Lightwave. It's one of the big 3 (or so) animation packages. The other major ones being Maya and 3D Studio Max.
One of the biggest differences between Lightwave and the others, is that it's broken down into two separate apps. One to create, model and do most of the texturing, and the other to animate and render. This has both advantages and disadvantages. One advantage, is that it can be easier to learn where and how to do things. If everything is lumped into a single app, it could be pretty overwhelming. On the other hand, it can mean a lot of switching between apps. In newer versions, this isn't so much a problem, as you can 'jump' between them, so I think changes are carried over. Much like how linked images work in Indesign. I think Lightwave 9 is out now, which was supposed to be considerably faster and more powerful in almost all aspects, and should give you more freedom to model what you want and how you want it. In previous versions, you couldn't subpatch models if you had polygons with more than 4 points; now, I believe you can.
So, each app has its own strengths and weaknesses. A good idea would be to check out galleries and forums for each of the software packages (found through the company's site) This should give you a clear idea of what can be done through each app, and you should also be able to find a great range of tuts to get you started.
If you don't want to spend a whole lot of money, I suggest checking out Blender 3D. It's free, for mac and PC (I believe intel is also supported) and I've seen some fantastic images produced in it. The downside, is that it was so different to Lightwave, I really had no idea where to begin. It seems quite powerful though, and with some good tuts and manuals, could be just the start you need, especially since you won't need to pay anything.
Good luck!