Howdy!
Good question. Yes it is safe to order on the new site. We have the SSL security certificate installed, so your credit card information is encrypted when it is transmitted to our payment processing gateway Authorize.net.
We are working out the kinks on a few things on the site, but none of the kinks affect shopping and ordering. For example we still need to add videos, blog posts, and finish adding the product support pages for Thor's Hammer and Odin's Raven (don't know how I forgot to transfer that over from the old site).