here are some links to loom plans and tutorials to get us started...
Peg Looms:
How to build a peg loom and make rag rugs
Frame Looms:
How to Build, Warp, and Weave on a Simple Frame Loom
Backstrap Looms:
Inkle Looms:
Other:
triangular African children's loom
and links to lots of free loom patterns of all kinds