Hi rosh and welcome to the Q&A Forum!
First of all, congratulations on your interest in improving the quality and composition of your photos. We have lots of information at Digicamhelp that you may wish to explore. The Taking Photos and Learn section are perfect places to begin.
There is a large variety of photos in the links you provided, so it's almost impossible to know which technique you're most interested in.
However, one of the first photos uses an important creative photographic technique called Depth of Field. You can read about it here:
http://www.digicamhelp.com/taking-photos/advanced-techniques/dof.phphttp://www.digicamhelp.com/taking-photos/advanced-techniques/dof-guide.phpAchieving depth of field has to do with a number of factors, primarily Aperture size. If you tell us the camera model or type, we can be of more help.
Here's some information about Composition. Make sure to look at the samples in the photo galleries:
http://www.digicamhelp.com/taking-photos/advanced-techniques/composing-photos.phphttp://www.digicamhelp.com/gallery/index.php?level=collection&id=7No doubt some of the images in the photobucket gallery were enhanced with editing, such a cropping. But even when photographers use film, they have to develop the prints. The difference is that one is done in a physical darkroom and the other is done in the digital darkroom with programs such as Photoshop and Paint Shop Pro.
Related reading: Aperture
http://www.digicamhelp.com/camera-features/advanced-settings/aperture.php