Now I'm not sure if this is right or not so I want to check before I learn this way.
According to Japanese.about.com there are kun-readings and on-reading for kanji eg.
kun-reading Migi & on-reading u or yuu. Is this right? also, if it is right are the on-readings how you pronounce the kanji when used with other kanji?.
(I'm just starting kanji, that's why I'm making sure. Sorry if this is obvious)
The internet can be a great source of confusion and misinformation if you're not careful.
The Genki series of textbooks are widely used and frequently recommended. I would strongly suggest also acquiring and using the associated workbooks and audio materials.
In addition the CosCom Kanji Odyssey materials are very good (as a supplement to a textbook, for kanji, not as a replacement to a textbook): Learning Materials of Japanese Language - Kanji