Here Are my Jowls/marrionette Lines. What Should I Do? and Which First? (photo)

Hello.  I am not a fan of Botox for your situation.  You are more likely to dislike the resulting facial affect, in my opinion.  Thermage is not likely to be a winner, either.  You should do great with a filler.  Start there.

Your photograph shows some tear trough depression and flattening of the normal rounded inner cheek. You have probably lost ample amounts of fat content in the deep facial planes that has caused you to lose support of the lower cheek. This then falls and creates the small jowls and pushes the inner cheek over the smile crease and over the marionette line. Botox injected in the DAO muscle may help lift the corner of the mouth slightly but if it were to be injected to soften the perioral lines, there could be unwanted side effects of weakening the smile and speech muscles.  

Lifting can be accomplished with either Thermage or Ultherapy.  Having used both devices on my patients, I have found Ultherapy to be more effective in lifting facial features than Thermage. Neither, however, comes close to the amount of lift a surgery can do but it is ideal for patients such as you who don't have significant jowls. Volumizers and or fillers should be done after the tightening with Ultherapy.

Different doctors prefer different volumizers such as Sculptra and fillers such as Radiesse, Fat injections, Perlane, Restylane, Juvederm UltraPlus or Juverderm Ultra and Belotero.

The information provided in Dr. Shelton's answer is for educational purposes only and is not intended to constitute medical advice.  The information provided should not be relied upon as a substitute for consultations with a qualified health professional who may be familiar with your individual medical needs