Which procedure would you recommend for my nose?

An Asian rhinoplasty specialist will be able to comprehensively address the issues you have with your nose.One thing to keep in mind though is that there is a limitation to the amount of tip refinement you can achieve (how small/narrow) because of the thickness of your skin. While there are a variety of approaches and techniques employed by various surgeons, it is up to you to do your due diligence to find a rhinoplasty specialist experienced in Asian rhinoplasty in order to achieve the best results possible. Using autologous grafts (tissue and cartilage from your own body) will provide the safest and most permanent results.Consult with 2-3 of these surgeons in person and determine your comfort level with their approach, demeanor, and before and after results. Good luck. 

Your nasal skin is thick and sebaceous at tip and alae, and indeed this limits but does not make impossuble obtaining a very sharp, cute and perky tip for your nose.You seem to have a non-pure asian structure needing:-Dorsal raise, but only partial. Yes, your bridge is low but only the upper half, radix and upper third need a raise. Raising a bridge is IMHO one of the most difficult maneuvers in
rhinoplasty, but with that said it is always easier to raise the entire
dorsum with one single en-bloc piece rather than partially, since a
partial raise has to be made with a custom tailered piece which has to
match with full perfection the other part of the bridge needing no
raise, with the same slope, and finally the frontier between the
raised/grafted bridge and the non raised/non grafted bridge can be
visible in most noses so a temporalis fascia graft to smoothen and
delete gaps is commonly necessary.-A short nose with short septum and subsequently over-rotated tip and nostrils visibility, needing re-supporting, nasal septum lengthening, etc-Alar and nostrils trimming down.Seek the advice and hands of a serious professional who offers to you a time-consuming and expensive procedure; stay far from minimally invassive snake-charming procedures, synthetic implants, fillers, wrapped diced cartilage, etc.
Difficulty 7 out of 10 in ethnic rhinoplasties, surgical time about 4 hours (in expert hands, could be even longer).
If you wish better grounded opinion well lit, focused and standard images have to be assessed: frontal, both lateral and both oblique views, also underneath the nostrils.
Feel free to request any additional information from me.

Your concerns regarding your nose is not uncommon, especially for those of Asian descent. As a specialist in rhinoplasty surgery as it pertains to ethnic rhinoplasty, I can tell you that these are the most common issues I hear patients discuss with me regarding their reasons for wanting to alter the appearance of their nose while still maintaining their ethnic identity:
Asian rhinoplasty patients discuss their dissatisfaction with the following: 
Flat nasal profileSlight nasal bridgeFlared nostrilsWide nasal tipPoor nasal tip strengthI employ specialized surgical techniques for Asian Rhinoplasty and my number one goal is to have a unified vision with my patient. I do not want to harm a patient's ethnic identity, however, I want to allow for each patient achieve the very best results they can and that occurs by having a highly personalized and customized surgical plan. I have over two decades of experience in facial plastic surgery and am able to preserve the ethnic characteristics of my patients while delivering the results they desire. 
When selecting a rhinoplasty surgeon, it is of the utmost importance that you choose a surgeon who is board certified in facial plastic surgery. Board certification matters. Especially, when you are considering ethnic rhinoplasty. You want your face and nose in the hands of an experienced and qualified surgeon. 
I am including a website link about Asian Rhinoplasty as well as video that discusses in detail the specifics of this procedure. I hope you find this information helpful. Please feel free to reach out to our New York City office if we can help answer any questions you might have in your decision making process.
Sincerely,
Philip J. Miller, MD, FACS
Double Board Certified Facial Plastic Surgeon

Asian noses tend to have:
Weak bridge or dorsumBulbous tipWide nostrilsThick SkinEach ethnicity has its own cultural ideas of beauty that must be appreciated and enhanced with any plastic surgery procedure that is performed. If you are interested in ethnic rhinoplasty that respects your cultural identity, please take the time to find a professional who has experience in this area. I hope this helps.

From the 2 limited photographs, it appears that there is thick skin on the tip of the nose and a shallow bridge.  This  shallow bridge line can be built up with patient's own cartilage, or a flowers nasal dorsal Silastic implant.  To narrow the bridge line requires osteotomies, and to narrow the nostrils requires an alar-plasty.  For more information and many before and after rhinoplasty examples, please see link and the video below