I have and use both a 35 and a 50 on DX. Just depends on what you think you might want to do. The 50mm is a short tele, which is a nice starter lens to teach you about depth of field and it can also do some nice portraits too if you're careful with your background. For a general walkaround type lens, the 35 is definitely better.
The 35 will work better inside, where I would imagine you will be taking advantage of its low-light capabilities. I'd give a slight edge to the 50 outside but it's easy to take a step or two closer outside, sometimes there isn't room to back up inside!
I'm now used to the 50 on my D90 it's a nice portrait lens when you don't want to get too close.... I couldn't find the 35 anywhere so I got the 50, but my mind's made up on getting a 35 asap!
Get the 35 first :smile: