List of Best Search Engines

by Darby
(England)

Do you have a list of best search engines that I can (or should) submit my website to? I'm new at this and am not sure how I go about getting my website listed with all the different search engines and web directories.

Is there an easy way to go about getting my site listed? Is there any particular criteria that I should be aware of before I start this task?
My website has been published for over a month and I can't find it on Google, Yahoo, Bing, Ask or any of the others that I could think of.

I only can find my website when I type in the entire URL. Have I done something wrong?

I know these are a lot of questions but I want to get started on the right foot and would appreciate any guidance that you can offer.

Thanks so much,
Darby

P.S. I read that there are some search engines that charge a fee for listing your site. Is this a good idea? If so, is there a list of best search engines that are worth spending money to list my site?