Thank you! I didn't know the default with redirect is temporary. Useful to know...
Actually, the new and old domains are pointing to the same place. I don't know how to explain it technically, but because I'm hosting with the same company, they kept my old one active and use aliasing or something so that both domains share the same content (same IP address?). It may not be able to be deleted, simply because it's the space which comes with my account name. But there are still plenty of bookmarks and links pointing to the old url, so I'm glad to have it still available.
I've just heard about another command...
...with conditions and rules. Has anyone used this? Any better for my specific search engine problem?