I'm searching forward to produce a website with my very own photography portfolio.
What are best solutions on market and so i will not need to pay for hosting, i do not mind for domain much? I additionally thought for wordpress platform, but I'm not sure what are limits. I'll should also put adsense promotes and so i can get in some way an earnings.

I favor http://paspartout.com/. The designers of the platform are artist themselfs and produced it to assist other artist to exhibit their designs/photos/... Take a look in the http://paspartout.com/examples from others.

if you would like static pages you'll be able to use galerrific

http://www.twospy.com/galleriffic/example-5.html

or if you would like php-mysql type of image gallery you can chose one from

http://php.opensourcecms.com/scripts/show.php?catid=7&category=Image%20Galleries

they've demo there.