First off Spludge, welcome to the forum and to LightWave!!! :beer:
The best tutes to start with, IMHO, are the free tutes on this site. Can't go wrong with free! Also, they will get you used to the interface and 3D concepts in general.
After the freebies and some basic concepts and practice, I recommend the McLaren tutorial on this site. It keeps mostly to ten or so basic tools (with which you can create just about anything), it's long so you get LOTS of practice, and it's probably the best bang-for-the-buck tute out there. It covers modeling, texturing, UV's, lighting, rendering, the whole works. Of course no tute will teach you everything (the McLaren doesn't go into animation or deformation), but after the McLaren you'll be comfortable attacking any project.
Here's my McLaren
Again, welcome and happy LWing!!!