This is the only glue you need for making furniture: 192 gram strength animal hide glue. We are selling Milligan & Higgins cattle hide granules in one pound increments. Just add an equal portion water and heat in glass jar in a crock pot. If you are looking for more complex glue-ups (like complete carcase or chair assemblies), check out our "liquid" hide glue granule mix.
Not convinced that you should dump your modern synthetic glues? Read this.