Welcome to WebProWorld, hannelie!
These days, it's not much of a problem for the major SEs to index database-driven sites. A quick look at your site didn't reveal any huge problems. However, here are a few suggestions, some of which will help get your new site indexed and your old pages out.
- If you haven't done so, get your products into Froogle
- Set up Google Sitemaps (is sitemaps US-only?)
- The image links in the header are less than ideal for SEO, but they should still be good enough to get you indexed.
- Set up a 301 redirect (do a forum search here for help on that) from all your old ASP pages to their new PHP counterparts.
- Keep working on inbound links. Yahoo shows a good start for you, but keep working on them.
Anyway, that should get you started. There are a lot of people having problems with large chunks of their sites showing up in the supplemental results. If you haven't yet, check out some of the threads here dealing with that issue, you might pick up some more tips.
Good luck!