How long after a c-section can I get lipo to the upper and lower stomach, flanks, back, and butt?

Stability is the goal. It is always best to exhibit restraint in the post-partum period. This is due to the fact that your body is changing dramatically during this period. The hormonal fluctuation can alter size and shape widely during the immediate post-partum period and can continue through the period of nursing. Body contouring during this period is the equivalent of hitting a moving target.
The optimal candidate for surgery has reached a healthy stable weight. In the setting of a recent pregnancy and delivery this stable weight can take some time to reach. A general rule of thumb is at least 6-9 months post-partum. If you choose to breast-feed through the first year of life you should allow at least three months following the discontinuation of breast-feeding before considering any procedures.
While there may be variations in the recommendations from one physician to another, the goal is the same...stability. Thus a delay of 9 months or 3 months post cessation of breast feeding (whichever is longer...will ensure that you have reached a plateau).
As always, discuss your concerns with a board certified plastic surgeon (ABPS).

Hello and thank you for the question,
Most surgeons would recommend waiting for a period of 6 months to 1 year, in addition to having clearance from a OB/gyn prior to under going any procedures. 
It is also best to get as close to your pre-pregnancy weight prior to undergoing the procedure as this will likely give you the best aesthetic outcome. 
You may also want to weigh the options of whether this is your last pregnancy, if not... It may be wise to delay your desire to get liposuction. 
Best 
Waqqas N. Jalil

You need time for the C-section scar to heal so I recommend waiting six months following the C-section and an additional 3 months after breastfeeding is complete.  Losing most of the postpartum weight or being within 10 pounds of your weight goal would enhance the results of the lipo. Lipo will allow you to have stubborn fat resistant to exercise and diet removed from unwanted areas (your abdomen, flanks, back) and transferred to areas that can benefit from the added volume and will result in a waist as small as possible.  Kenneth Hughes, MD, Board Certified Plastic SurgeonLos Angeles, CA