Sailaway - Did you have any additional reporting when it came to tax filing time? What brokerage did you use for the new account
I've been considering this myself, I have a large chunk in an employer sponsored HSA. I've been hesitant to do anything due to tax reporting and I can't see where Fidelity does these accounts.
I just did it this year, so I haven't filed the taxes on it yet. However, in the blog post I linked above, it's discussed in the comments. Form 8889, line 14b.
I rolled mine from BMO Harris (the only bank my employer will direct deposit to) to Eli Lilly Federal Credit Union, which uses TD Ameritrade for the brokerage.