The OneDrive app on the iPhone works perfectly. I have thousands of photos and videos backed up this way.
Arguments on this thread about the 'best' phone are not helpful to your original post. The best phone is the one you use. So congrats on your new iPhone. People here can help you with it, but you'll get better and more helpful advice elsewhere on the Web.
I predict in a week or so you will grow very tired of the iPhone and will regret the purchase. Aside from apps, Windows phone demolishes the iPhone.
With the iPhone, you can change your wallpaper = whoop-de-doo! There is nothing even close to live tiles and the OS is made for a child to use.
Also, I have not done contract phones in years. Just pay full price and be done with it. Also, the Nokia Icon (Verizon version) works fine on T-Mobile if you grow weary of the iPhone and want to try something else..
@raqball I have a feeling @ctitanic is aware of the issue. It might not even be one for him.
It's all personal preferences and I'm glad there's not just one manufacturer out there. Heck, I love my iPhone and I'd still be crying if Samsung or any other shack shut down. It's the competition after all that drives the improvements.
Oh well, perhaps I'm going the wrong way as I just ordered a Nokia 930 (icon in th eUSA) after 3 weeks with a Lumia 635 I decided I liked windows phone 8.1 and wanted a better phone, more similar in spec to my nexus4. with Cortana now released to win 8.1 and the 930... have I done the wrong thing then???
I'm lucky though I 'm off contract and can buy whatever phone I like whenever I like.