How do I get my to show on a search engine list? Do i have to submit domain name somewhere, and or add anything to my webpage (i.e meta tags)?

Thanks

Would you mind to tell me what is your domain name?

Sure,

www.lanceandavery.com

Thanks

I hope you it wil be useful for you:
http://www.bruceclay.com/
http://www.smartwebby.com/website_promotion/
http://www.thepromoter.com/

If you have your web address as your sig on forums then a spider is likely to find it and add it to their index anyway, right?

Yes.
But some forums have option to disallow search engines to index pages. In that case option must be disabled.

For better protection, I got this right away, try doing this:

"http:///www.yourname.com"

And for emails, try this:

"myname at thisdomain dot com"