After taking advice from the Realself community, I finally went for a TCA 30% peel. It was applied at my doctor's office (he is a plastic surgeon) on Tuesday morning. It's Sunday and the last part of the dead skin peeled off my face this afternoon. I am very happy with the result since the general state of my skin has visibly improved, the fine lines around my eyes, my mouth and on my forehead are gone!
The process was pretty painful for 10 minutes, unpleasant for 5 days since your face turns brown and crunchy, but it is sincerely worth it. I have been applying in thick layers Cytolnat Centella skin cream over my face until now.
Here are some before/after pics.