Is it possible to get a breast reduction, lipo, and a BBL in one round or would I have to do multiple rounds?

Hello, thanks for your question and provided information. If your hemoglobin levels are in stable conditions, yes you can do all the procedures at once. 
Advantages:
One treatment may be all you need to reshape problem areas
Treat more areas—and larger areas—in one procedure
May be performed with either local or general anesthesia
More consistent and predictable result than noninvasive treatments
Liposuction, sometimes referred to as "lipo" by patients, slims and reshapes specific areas of the body by removing excess fat deposits and improving your body contours and proportion.
Different areas of treatment:
Thighs
Hips and buttocks
Abdomen and waist
Upper arms
Back
Inner knee
Chest area
Cheeks, chin and neck
Calves and ankles
Liposuction can be performed alone or along with other plastic surgery procedures, such as a facelift, breast reduction or a tummy tuck.
What liposuction can do?
Liposuction is not a treatment for obesity or a substitute for proper diet and exercise.
It is also not an effective treatment for cellulite—the dimpled skin that typically appears on the thighs, hips and buttocks—or loose saggy skin.

Unfortunately no surgery is free of the risk of potential complications (foreign or domestic). Patients have complications locally just as they do elsewhere. The key difference…proximity to your operating surgeon.
In the case of distant surgery, complications can be magnified by multiple factors:
-Inadequately or unregulated foreign facilities and hospitals
-Inaccessible medical records or poor documentation
-Delayed post complication care due patient reluctance to seek medical attention after returning home (for financial reasons) or difficulty in finding a surgeon willing to deal with another’s complications
-Infections stemming from foreign and unfamiliar or resistant pathogens
Patients are encouraged to check the credentials of any potential surgeon (foreign or domestic). To aid this, the International Society of Aesthetic Plastic Surgeons is developing a program to enact certification standards and recognize surgeons’ competency and dedication to patient safety (in a fashion similar to the American Board of Plastic Surgeons).  Patients and physicians should also be aware of the U.S. Joint Commission on International Accreditation which to date has accredited some 80 hospitals in 18 countries.
Seeking care through a surgeon certified by your national board is always regarded as a prudent choice. However, for those patients seeking care abroad, they need to be well informed of the added risks to aid them in making safe decisions regarding their care.
With regards to your specific question, I would always suggest looking for a surgeon closer to home. While there is no doubt that one can find excellent surgeons anywhere, travelling for surgery adds an unnecessary risk factor to the mix. The American Society of Plastic Surgery as well as RealSelf are excellent resources for finding board certified plastic surgeons (ABPS) with experience in all of the procedures in which you are interested. If you must travel for surgery, I would recommend staying local for the initial recovery period (1-2 weeks), to allow for closer monitoring by your operating surgeon.

When considering combination procedures it is best to limit the surgery to less than 6 hours, less than 5 liters of liposuction, and have a low risk (ASA Class I) patient.