Much the same as today, but more hover-boards
But seriously, to look forward 10 years, you have to look back 10 years and see what has changed in that time. As far as technology goes, these days its all about information on the go.
10 years ago, I probably had my trusty Nokia 3210 which although indestructible, just delivered calls and texts (and snake) Today, more people spend time looking at their phones at arms length than they do holding them up to their ears.
Storage will increase and prices will drop. In the last 5 years or so, I would argue that application development is now more streamlined so it will operate on lower hardware. This will most likely push prices down as things get really competitive. There will be multiple copies of data and up-time and availability will be king. I can see multiple copies of hosted data spread across all corners of the globe as high availability becomes paramount.
2023 seems like a long way off now, but 2003 doesn't seem like 10 years ago... My email system still runs on Exchange, I'm writing this post on a Windows laptop, I still have my mobile phone next to me - and still getting no calls!
I'm looking forward to the future, although to us people who are in the hosting world, it seems like nothing new, to a lot of companies out there, the concept of hosting or cloud computing is new and something I expect more and more people to embrace over the next 10 years and beyond
Wear sunscreen though - trust me on that