Forward [only] unfiltered emails in gmail

I am using a new email address, but I still want to get email from my old one. However, I do not want to get all the mail. A lot of my mail is filtered into different labels. I do not want to delete it, but I do not want these emails forwarded to my new address. I only want to forward new unfiltered mail.

I am pretty sure there is no way to this in vanilla gmail. Any another ideas?