You can get a skin analysis done by Dermalogica for free (If you are into their products) - but I don't know how well trained the staff is out here.

Or you could go to Kaya Skin Clinic. They are doing free consultations (which otherwise cost AED200) and you can book an appointment online. kayaskinclinic . me/
They will do a computer aided skin analysis and then the dermatologist can recommend appropriate products for you. =)