How common is vomiting after anesthesia?

This is a great question, as post-op nausea can be the worst part of having surgery. Most surgeons are very much aware of that, and I can tell you what I have been doing to nearly eliminate this problem. A multi-modality approach is most effective.
-Since post-op nausea is caused by anesthetic gases and some intravenous drugs such as narcotics (opioids), the idea is to select the ones with the least side effects and use the absolute minimum amounts. This can be made possible by simultaneous use of adequate amounts of long acting LOCAL anesthetics (that do not cause nausea) such as Marcaine or Exparel, so the amounts of systemic drugs can be reduced. This has the added benefit that our patients wake up quickly after surgery and are relatively pain free for quite some time post-op. The need for oral opioid pain killers is also reduced or completely eliminated.
-We routinely use two different intravenous anti-nausea drugs given to patients before surgery. The preventive drugs act synergistically and are very effective.
-We apply a Scopolamine skin patch before surgery. This is what is commonly prescribed to prevent sea sickness, and was found to work well for anesthesia-related nausea.
-In patients who give history of nausea resistant to all other preventive measures, we also prescribe a relatively new drug (called Emend) given prior to surgery, and we have seen great success with that.
Despite all these measures, it is still possible to get nausea in some patients, but we are able to turn this problem from a common to a very rare event. Remember to avoid opioid pain killers after surgery, if possible. Every surgeon may have a different protocol, as there is no universal concensus. Just make sure you ask this question and be weary if there is no such system in place. Good luck with your surgery!

It is normal to have these concerns.   I recommend an in-office examination as well as a detailed discussion with a surgeon who you are comfortable with.   Finally, make sure your surgeon is a Double-Board Certified Plastic Surgeon certified by the American Board of Plastic Surgery (ABPS), a member of the American Society of Plastic Surgery (ASPS), a member of the American Society of Aesthetic Plastic Surgery (ASAPS), and a fellow of the American College of Surgeons (FACS).Best,Dr. DesaiBeverly Hills Institute for Aesthetic Plastic SurgeryHarvard Educated, Beverly Hills & Miami Beach TrainedvDouble Board-Certified, Double Fellowship-Trained Beverly Hills Plastic Surgeon

Thank you for the question.
There are many different types of acceptable techniques of anesthesia that can be used for the breast augmentation procedure. As long as the plastic surgeon and anesthesiologist involved are “expert” at the technique selected, patients generally do very well.
My advice to patients is: concentrate on choosing your plastic surgeon carefully.  Concentrate on appropriate training, certification, and the ability of the plastic surgeon to achieve the results you are looking for. ***Ask to see lots of examples of his/her work.
Once you have chosen your plastic surgeon carefully, everything else, including the type of anesthesia ( and most importantly SAFETY concerns)  will follow. 
Having said that, in my practice I prefer the use of general  anesthesia provided by a well experienced board-certified anesthesiologist. I find the use of this type of anesthesia provides for a safe, comfortable, and immobile patient;  these conditions are important when it comes to achieving optimal outcomes.
 
Most patients describe the experience of anesthesia as a "pleasant nap";  assuming you are working with a well experienced plastic surgeon and anesthesiologist, your "wake up" should be smooth, as well as pain and anxiety free. There are a variety of methods available to help with pain control.  These days, endotracheal tubes are usually not necessary; an LMA (laryngeal mask airway) device, placed in the mouth (not the trachea), can be used to control the airway (no sore throat).
Best wishes for an outcome that you will be very pleased with.