Once you have completed the changes to your site and renamed the index page to bring the new site public, you can then begin the process of promoting the site in the top search directories and search engines.  I'll list my recommendations for the appropriate search services below.  They are in approximate order of importance, i.e. order of most traffic and thus potential new visitors.  Any highlighted links should take you directly to the "Add URL" page for that service.

Search Directories - Where a human editor reviews your site.  Unfortunately, almost all have gone to a "Pay-For-Inclusion" business model, with Yahoo being the most expensive.

Search Engines - Where an automated spider crawls your site and indexes it according to the title, meta tags, and body text content.  Note that while some engines still allow you to submit your site for free (which may take weeks for results to appear), most have gone to a "Pay-For-Inclusion" model where you pay a modest annual fee for your site to be immediately listed and then to have your listing regularly updated.

Pay-Per-Click - Where you bid a certain amount per click to be listed 1st, 2nd, 3rd, etc.  This can be the fastest way (and maybe even the least expensive) to generate traffic.

Other - Other search related options.