Restylane vs Juvederm - What should I ask my doctor before getting a Restylane or Juvederm injection?

Restylane products have lower degree of hydrophillicity than Juvederm products which translates to:  Restylane products (which are biphasic) have less swelling after injection than Juvederm hyalcross products (juvederm ultra plus and ultra).  For the under eye area, most patients will do better with Restylane products than Juvederm products.  For the nasal labial folds, either product may work depending on the goal. Best Dr. Anil Shah

For your injections in your lower eyelid tear troughs - I would only recommend Resytlane not Juvederm.  Both are hyaluronic acid fillers, but Juvederm is very hydrophilic (meaning it attracts water).  This is a great quality for a lip filler, but is bad for under the eyes because it can make they eyes look more swollen and puffy.  Restylane is less hydrophilic and will work better in the tear troughs beneath the eyes.  Remember that the under eye area is an off label use for any filler.   For the nasolabial folds both are good products.  Juvederm may be slightly longer lasting.  Perhaps even longer lasting than Juvederm are is cousins Volbella and Volure.  Volbella is good for fine vertical lines aroudn the lips, Volure is great for the nasolabial folds. 

Restylane and Juvederm are great products, but have various applications in which one product might work better than others. In most areas (like cheeks, nasolabial folds, and others) the two products work similarly and will last close to the same amount of time in the majority of patients. 
Around the eyes, I would prefer to use Restylane as it should hopefully produce less swelling and the area can be augmented very precisely.  Tyndall effect (bluish discoloration) in the area of the fillers can occur with either product but can usually be minimized or avoided with proper technique.
All the best,