Hi Bratone and welcome to Android Forums!
It will be difficult to get a truly objective opinion in a Galaxy Note 3 Forum thread: or an HTC One thread for that matter. Look in both forums and read about the issues the phones are having - there shouldn't be many - and make that one factor.
The list thing Scootmien suggested WORKS. Dr. Benjamin Franklin always advised that for major decisions: on one side of the paper, list the advantages of each. On the other side, list the ideas opposed to each. Add to it as you learn new things.
When you're done, the list will give you an idea of which phone will work best for YOU. Consider what you want to use the phone for
: for video playback and movies, the HTC One is unbeatable with its front stereo speakers. For business, the Note 3's S-pen is an invaluable tool.
In the end, we can help you, but the decision to get the best phone for YOU is yours
It's great to have you here!