Let's clear up some common misconceptions here:
Delaware's reputation is mostly about C-corps, not LLCs. Delaware has 200+ years of corporate case law and the Court of Chancery which is crucial for complex corporate disputes. This matters for corporations with boards and shareholders. For LLCs? Not really relevant.
The privacy argument for Wyoming is overblown. Yes, Wyoming doesn't publish member names, but if you're doing business in other states (which you will be), you'll likely need to register as a foreign LLC in those states - and THOSE states might require disclosure. Plus your bank, payment processors, customers, etc. will all know who you are.
Asset protection myths: Both Delaware and Wyoming offer the same basic LLC liability protection. Wyoming has slightly stronger charging order protection statutes, but this matters more for multi-member LLCs. For single-member LLCs, the differences are minimal.