Double chin and chin/neck wrinkles: I recently lost weight and developed this loose skin. (Photos)

Both Kybella or neck liposuction are good options and will improve the double chin.  Chin filler or implants can improve projection. It depends on your lifestyle and personality which would be better for you. 
Kybella is best for patients that:
1)  Do not want surgery 
2)  Are not surgical candidates 
3)  Not willing to wear a compression dressing around the face for 1 week 
4)  Patient-  The results of Kybella will take months
Kybella take 1-3 treatments every 6 weeks.  Patient will develop swelling and possible bruising after each injection that may last a few days.  The benefit of Kybella is each treatment is quick and completed in the office.
Neck Liposuction is best for patients that:
1)  Want a single treatment 
2)  One recovery time-  Downtime for neck liposuction require wearing a wrap around face for 1 week. 3)  Less painful 
4)  Quicker results 
5)  Cost is a concern
Neck liposuction is a quick surgical procedure that can be complete while the patient is awake.  It cost around the same price a Kybella and can be less in patients with heavier necks.  The single recovery of neck liposuction may be a better option for some patients.
I hope this helps. 

Hello,We offer both method (liposuction and Kybella) in our clinic. I would favor the liposuction instead of Kybella. results are immediate and ability to do neck and jaw line as well. When you have chin treated then jaw line becomes more bothersome. The cost of liposuction is not more than 3 times Kybella which need to be injected on average.All the Best -- See an expert Ray Bayati, MDSacramento Area, California