How do I promote myself by my website (snipped) e. g. that I can design a database using PHP and MySQL?

have people know about your site.
add it to your signature in your mails, ...

Add it to the Google listings, put it next to your name. If you have a Twitter/FB account, promote it there. If you can spare a few bucks, give out sponsored results on Google. There's a lot you can do.

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