Unfortunately, smiling photographs are not very helpful for tailoring a treatment plan for any individual. In general terms, however, my first choice for most cases of marionette ("Howdy Doody" or "sad") lines would be The Nonsurgical 3D Vectoring Facelift, with particular concentration on the marionette area. This non-invasive procedure, which employs volumizers, such as Radiesse, can be found described in detail elsewhere in the RealSelf Q&A archives.
The Nonsurgical 3D Vectoring Facelift not only softens the marionette lines, but, if necessary, (via appropriate placement of the injectable volumizing materials) can also improve the smile lines on the sides of the nose and the jowls along the jawline as well as give greater, more youthful definition to the cheeks.
For treating the "lipstick bleeding" (aka "smoker's) lines around the mouth, fillers, such as Restylane L or Belotero Balance are quite effective. For dimpled, pebbly chins, chin augmentation, using Radiesse combined with Perlane L (in my Upper East Side practice) and Radiesse plus Restylane SQ (In my Israel office) can be extremely helpful, especially when combined with microdroplets of a neuromodulator, such as Botox, Dysport, or Xeomin for smoothing the chin and providing greater projection and definition.
Naturally, consultation with a board certified aesthetic physician with experience with all current facial rejuvenation techniques and injectable agents is advisable to ensure that the treatment plan that is created is tailored to the specific needs of the individual