There's a new article about a decision to build a diverging diamond interchange in Berkeley, and it highlights concerns some drivers might have about a layout that is new and unknown.  See here for the article, and a picture of a diverging diamond interchange.  I learned about this style of interchange in a conference a couple years ago.  People in the audience spoke up about the experience of driving through one.  They were unanimous that all you do is follow the stripes and curbs like you usually do.  For a driver in the interchange, it's no big deal.  One speaker said he had traveled to another state specifically to drive through one (work-related) and was trying find his way to the interchange and drove through it without realizing he was already there!  He pulled over a couple blocks later to check the map and was stunned to find out he had just driven through the interchange.  
The way the better-known traditional diamond works is as follows:  If you are driving east toward a freeway with a traditional diamond interchange, you know that if you want to go south on the freeway you will turn right at an intersection just before you cross the freeway.  Or, if you want to go north on the freeway, you know you will have to turn left at an intersection just after you have crossed the freeway.  You also know that the right turn to go south will usually be easy, with little or no delay at the intersection.  Further, you also know that the left turn to go north will usually include a wait before you can make the left turn, sometimes a long wait.  Pretty familiar to us all.  
The way the diverging diamond works is exactly the same to turn right to go south.  If you want to go north, though, as you pass the southbound ramp your lanes shift left so you are driving on the left hand side of the road.  When you get to the northbound ramp, you still make a left turn like before, but because you are on the left side of the road there is no opposing through traffic delaying you from making your left turn.  It will feel like making a left turn from a one-way street.  If you want to continue east, you just continue to follow the stripes and curbs like you normally would and your lanes shift to the right as you go through the northbound ramp intersection.   You end up on the right side of the road without even having to think about it.