I do not like the bottom of my nose. I feel it's very big and looks really round from the side, is it possible to fix? (Photos)

Click on the "Learn more" link, just below my response, or go here:
FacialSurgery.com/RealSelf/RealSelf_hilaryhaven.html
I made a couple of computer morphs of your nose, and animations of the morphs, to show the changes that are possible for your nose in truly expert hands.
I narrowed the tip of your nose. Also, however, I elevated the tip upwards, and I brought the entire nose back closer to your face.When the tip cartilages are strong enough to make the tip wide, like yours, they are usually strong enough to hold the nose out forward from the face more than we might like, and they tend to hold the tip down, making the nose tip look a little droopy. Perhaps you can see those changes best in the animation. The woman in the short video that I posted with this answer had all three of those features, too.
You should understand that the changes I demonstrated in the morph require advanced techniques, techniques that most plastic surgeons cannot handle.  Be sure to read the section in the "Learn more" link on how to stay out of trouble while searching for a rhinoplasty surgeon. Rhinoplasty is an exquisitely difficult operation to get right, and you should only have surgery if you are able to make yourself very confident in your surgeon's skills. Read that page very carefully. 
I'd love to hear what you think of the morph. Did it seem to address your main concerns? I could modify the morph to your taste if you wish. Many patients might like the tip elevated a bit more than I demonstrated in the morph.
Your nose is also a good example of why computer imaging is mandatory in rhinoplasty. You need to know exactly what the surgeon is planning to accomplish -- what features he thinks he can change, and by how much he thinks he can change them. When you see his goals, you'll know whether he has an eye for an attractive nose, and whether he shares your opinion of what constitutes an attractive nose. You'll also know whether the changes he proposes are enough to be meaningful to you, and whether he understands your wishes enough to address all of your priorities. But remember, you're not hiring him for his skills with the computer. The doctor must then show you his before and after photos to prove that he can actually accomplish what he draws on the computer.
In your case in particular, you need to find a surgeon who understands all of the issues I mentioned, and how they fit together, and who can actually accomplish them in surgery. 

Your nose could be improved with rhinoplasty, which would give permanent improvements in symmetry and shape. You can bring the photos of noses that you think would be flattering to your face and these can be discussed. When you meet with a facial plastic surgeon, he or she will consider your nose in balance with your other features. I hope this helps.

Absolutely!! Your goals seem perfectly reasonable and I think the changes would suit your face very well. You have gorgeous features that would be even more complimented with nasal reduction. Find a rhinoplasty expert you trust and discuss specifics. Good luck!