Which chemical peel (type or strength) would improve my nasolabial folds and marionette lines the most? (photo)

Fillers would be the
best thing for nasolabial folds. As you know, the results are immediate and can last for a few months to over a year, depending on what product is used. It's best to fill in the lines
rather than try to peel them away.Lasers are also an excellent treatment option when it comes to
minimizing nasolabial folds. Lasers
will generally require several treatments but are highly effective especially
when combined with fillers. Personally, I have seen some great results with the
MatrixIR. It is a fractional laser with
no downtime, most patients only require 3 painless treatments.

These creases can improve with laser skin tightening, possibly, or a medium peel. Fillers are highly recommended, though.

I would not recommend a peel above 35% TCA.  Fillers are really what you need for your lines.  Stick with surgeons and physicians in the core aesthetic specialities like Dermatology, facial plastic surgery, plastic surgery, and oculoplastic surgery.  Don't go to a spa for these services.  Less is more.