You can read our Ultimate Guide on deciding between Wyoming vs Delaware here
We recommend Delaware if you have plans to in the future convert your LLC to a C Corp (to raise venture capital from U.S. investors) or you really want the "prestige" of saying your company is from Delaware.
Wyoming is the most popular state for non-residents who are online businesses, e-commerce businesses, or business owners.
Wyoming has lower annual fees ($60 vs $300 in Delaware), a lower state filing fee ($100).