I just did a big consolidation to Vanguard and I've been very impressed. Their website is solid, with good tools and layout.
They have a free concierge service, which I highly recommend you take advantage of. You tell them what you want to do: "I want to transfer a Roth IRA from Fidelity to a Roth IRA at Vanguard" and they will talk you through every step along the way, including setting up a 3 way call with you, Vanguard, and the third party institution (fidelity in your case).
I just rolled over an old 401k from Fidelity to a Vanguard IRA and they were very helpful the whole time. I also moved some taxable-account stock holding from UBS, again no problem.
A word of warning about Fidelity (at least in my experience) they are still a paper system, so they may mail you a check, which then you have to mail to Vanguard. Why this stuff isn't just done electronically these days is beyond me. The stock I transfered from UBS was all electronic and "in-kind" meaning it is not a taxable event, the number of shares simply transfer over and you maintain your cost basis etc...
Anyways, yes I would recommend Vanguard. Go for it, get organized.