It's not bad idea to submit it to Google, if you're using the add url page so that it can send the spider. I've been doing
that for 5 years and never had a problem.
However, for the directory, it's administered by dmoz.. The Open Directory Project. It's edited by human editors, and if they
don't like your site, they'll toss it under the rug and forget about it. Then good luck getting it back in there. You NEVER
submit it there until it's perfect.