How can I reduce my nostrils/fleshy tip as well as adjust my nose a bit more symmetrically to my face? (Photos)

A rhinoplasty procedure can accomplish modifying the cartilage  and the bone of the nose, not the skin. Thick skin in the tip of the nose will prevent refinement in that area. The dorsal hump can be shaved down  and the bridge line narrowed. An alar-plasty can accomplish narrowing wide nostrils.  Digital computer imaging performed in the office setting would be helpful to understand what can be accomplished with your nose on your facial feature.  For more information  and many examples, please see the link and the video below

The shape of the nose is the shape of the architecture. In order to change your nasal shape you will have to have strong grafting to the nose ie. Cartilage. The nostrils can be thinned but the skin itself cannot be thinned much because it injures the blood supply and can cause complications. 

What you have described is part of most rhinoplasty procedures.  Be sure to discuss your goals and concerns with your board certified plastic surgeon and consider the pros and the cons. Be certain your surgeon is properly certified.  I've attached a link where you can start your search.