Pale, translucent green-white resin (hojari) is the most prized. Buy small bags of different grades to compare at home.
Incense burners
Hand-painted clay mabkhara from Dhofar are light and cheap; wrap them well.
Dhofari perfume
Local blends of frankincense, oud and musk; test on skin and let it settle.
Ask who made a piece and where. Check materials and shipping. Bargain politely only where invited; respect fixed prices in boutiques and artisan shops. In the souq, gentle bargaining is normal; mall shops keep fixed prices.