In a large bowl, combine the lamb, parsley, onion, garlic, bell pepper, mint, oregano, pine nuts. Using clean hands, mix until incorporated.
Divide the mixture into 8 equal parts and form into patties. Drizzle both sides of each burger with a bit of avocado oil and season with salt and pepper.
Preheat grill or grill pan to med-high heat. Grill burgers approximately 5-6 minutes per side or until cooked to your preference.
Transfer burgers to a serving platter and cover with foil to keep warm.
Cut iceberg lettuce into wedges and prepare toppings. Arrange each burger individually or serve everything as a buffet so that family/friends can build their own burgers.