.JPG .TIFF Or .Raw?

Those of you that produce your own images, what format do you recommend saving your photos in?

Right now, im experimenting with various settings and, in all honesty, i really cant see much of a difference in image quality between the 3 file types but, im sure there are specific scenarios where certain images should be saved as a certain file type and i was wondering what, in your opinions, these were?

So, of the 3 file types i mentioned, when should i take a picture and save it as a .jpg, when should i save it as a .tiff and when should it be saved as .raw?

Regards,

Lee