Removal of extra "cartilage/fat" at end of my chin that makes it stick out, along with a nose job. (photo)

Hello
Thank you for your question, based on your pictures ill recommend you chin liposuction. 
The Chin can make the most dramatic change in a patient’s appearance because removing even the smallest amount of fat, makes all the difference. Chin lipo makes you look younger and more attractive with a sharp jawline , and better facial proportions. 
Please contact a plastic surgeon near your area and book a consultation. 
Dr. Manon 

That is not fat on the end of your chin but an extra large soft tissue chin pad of which fat is just a part of it. Most of it is skin and muscle. You would need a submental chin reduction technique to thin this chin pad tissue out and tuck it under the chin bone.