This answer is without reading the other posts first. I'm not doing this because I'm in a hurry. I am doing this because this post should matter, and not have any influence from other posts or start a disagreement, or for me to disagree with any other posts.
I do my research. I am not a "well I heard from this one guy, that..., or the guy at the dealer told me..." Kind of guy. Without being a top flight mechanic either (however I do have experience working on big marine diesel engines, and I drive a heavy duty truck everyday for work), but I am a huge diesel enthusiast. Take my advice for what it's worth.
Now, here's the short of it. If I was going to buy a brand new truck, it would probably be a Dodge Ram diesel, or a Ford F Series diesel. Leaning towards the ford for comfort. I have driven all of the big three's diesel trucks that they've pretty much ever made. You do need to drive them though. There are definite differences and your personal preferences may fit in with another truck.
Now here's where it gets complicated. If I were you, I would skip both of these trucks and spend my money on something I would truly be happy with. Even if it meant that I had to wait longer to find what I really want. I have a 1997 12 Valve that I got shipped out here from across the country. It took me over a year to find the right truck for myself.
As far as these trucks go, it sounds like the 2010 is in better condition. I would not buy it. All mechanical things have one like trait...they can fail. The exhaust and the way that they set it up back then is terrible. I would go for the 2013 just because of the fact that it uses DEF fluid and a selective catalyst reduction system. It "should" be a more problem free truck for you. That's as far as the emissions systems go.
Take it in consideration, and always remember that in most cases, you'll find that people only really speak up if they are unhappy about something. There are plenty of people for all complaints that have never had a problem and it's the best thing they've ever bought.
As far as personal, first hand experience, every heavy duty tuck in the fleet of the company I work for that only has a DPF and uses fuel to burn the soot off has constant problems. The newer trucks with the DEF systems run way, way better. But they still have problems. That is to say, more problems than the trucks did that are older and have no emissions restrictions.
Hope this made sense, and I hope it helped.
As a note, if you want to delete the emission systems off of the truck, get the 2010 hands down. The reason I say this is more OCD than anything, because I wouldn't want a deleted truck with a useless gauge on the dash.