Cover tray with wax paper. Place white chips and 1 tablespoon of shortening in medium microwave-safe bowl. Microwave at HIGH (100%) 1 minute; stir unil chips are melted and mixture is smooth, If necessary, microwave at HIGH for additional 30 seconds at a time, just until smooth when stirred.
Holding by the top, dip 2/3 of each strawberry into white chocolate chip mixture: shake gently to remove excess. Place on prepared tray: refrigerate until firm, at least 30 minutes.
Repeat Microwave procedure with chocolate chips in a clean microwave-safe bowl. Dip 1/3 of each berry into chocolate mixture. Refrigerate until firm. Cover. Refrigerate leftover strawberries.