Although we suggest doing this with an inexpensive piece of furniture (and not your current living room table), we think it's a great way to make weaving more accessible to kids. It allows them to use large strips of material (like t-shirts) instead of little pieces that can be difficult for small hands to manipulate.
Set your kids to work making rugs for their rooms, wall hangings and more; it's sure to be a good time for everyone and can easily be constructed with a few nails and some string! The best part is this rig is set up to be 4-sided so you could make a sleepover event out of it or even a birthday party if you wanted. If you're not willing to sacrifice an IKEA table like in the photo above, we're sure the local Thrift Store can supply you with something on the cheap!
(Image: IKEA Hacker)