Most of the auto-aperture settings are now simplified to "Flowers", "Low Light", "Sports" and other basic descriptors. If you want to set things up automatically, try using the shutter-priority in the camera. This is where you set the shutter speed and the camera sets the aperture. This way, you have a much greater control over the depth of field by changing the shutter speed until you are at the desired aperture setting that you want. As far as Bokeh is concerned, there is a distinct difference between it and Depth of Field and in basic photography, there is a lot of confusion about these. Bokeh is the quality of the softness in the background. Some lenses, because of glass, design and other factors, can have a more visually pleasing blur in comparison to other lenses. Each lens is unique in this quality level and again, some lenses are better at this than others.
Now, Depth of Field is a bit more technical. the lower your aperture number, (say, F2.8) the LESS depth of field you'll have. Increase that aperture number, (say, to F16) and you will have a greater apparent sharpness on the Z axis of the image (think here about your high school geometry for a moment. You had X, Y and Z axis. X and Y are vertical and horizontal, and Z goes into the depth of the image, so in a 3D image, you could move toward the subject physically, but since your 2D in a photo, it is only "apparent", but works when we discuss Depth of Field.) There is an old rule too that says that Depth of Field is also broken up into "1/3rd and 2/3rds". Meaning that if you focus at 8 feel away, and you have 9 feet of depth of field at your camera setting, everything from 5 feet to 14 feet will be in focus. 1/3rd BEFORE the point of focus and 2/3rds After the point of focus for that Depth of field number, so 3 feet in front of the focus point at 8 feet (8-3=5) and 6 feet AFTER the point of focus (8+6=14) Now, this is a graduated change. Some photographer disagree with this, which is OK, but generally it is pretty accurate for general situations.