How to fix my ugly neck? (Photo)

Both Kybella or neck liposuction are good options and will improve the double chin. A chin implant 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. However, some patients need more than one treatment to get desired results. 
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. 

Kybella permanently removed the fat below the chin.  It is not for the neck.  From the photo it is not clear that your concern is due to fat but perhaps due to skin laxity.  Once you have a consultation by a physician from different angles the correct procedure can be recommended.  Kybella can be combined with a skin tightening procedure if necessary.  An experienced physician will let you know  if you can be helped with Kybella.