A good place to get tips on puzzle ring assembly is from the retailers that sell these items. Puzzle Rings by Pepi is one such example. Other resources that provide instructions are Puzzle Ring Store and Puzzle Rings by Norman Greene. Puzzle Rings by Pepi has instructions and tips for the 4, 6, 8 and 10 rings, which are also sold by this retailer.
One tip that Puzzle Rings by Pepi shares is that in order to start assembling the puzzle ring band, it is a good idea to find the band that has words stamped on it and make sure that the bent part is positioned facing downward while the other bands hang down from it. This retailer also provides these instructions by mail if customers request them.
The other two online resources also offer instructions for different types of puzzle ring bands. The Puzzle Ring Store provides written and video solutions for these products.