Game science precision dice. Just listen to this man talk about his dice. The hard part about these dice is that they are getting rare. The dice are manufactured to ensure that the dice role on all sides evenly. I've been using these dice for a little over a year and they've been great. There will not be any of those "lucky dice" as those dice have imperfections.
The owner of Game Science sold off his company a few years ago to enter retirement. The new company hasn't been really producing them so they are hard to find. I checked ebay over the process of about two months before I got a complete play set.
For a dice bag, I've been using a Bertie Bott's Every Flavor Beans bag. This has been the best dice bag I've used in over ten years of tabletop gaming. I tried those fancy velvet ones or silk ones and I've found they just break down after a couple of months. This bag has been used for five years and has held up amazingly. The hard part is that they don't produce these anymore either.