There is really only one search engine to worry about submitting too and that is Google and you should only submit one page your main once and maybe a sitemap a week later but never more than once a week. If you have a link coming to your new site from a site that is currently listed in Google then Google will find you quicker.
Most importantly search engines that have any bearing will find you if Google has you listed. Not that there are not any other worth while search engines. There are just many that look to Google. If you have a non comercial website you will want to look into DMOZ for a seperate submission.
So don't pay for directory submission many directories will bring you no traffic at all.
Here is the #1 tip to getting into Google. Get people to link to your site. In particular links form site that are in Google already.
Important Note: The more links that you have going out from your site will effect your page rank with Google negatively. The more links coming in will help your page rank. If you have the highest page rank for a particular key word you win.
You have to read the stunning details for yourself:
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Internet Marketer and Consultant that lives in Texas. His Current project is at acceleratedinternetprofits.com