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. Now, this is the basics.
Depth of field gets more complicated when you change lenses and when you move physically closer or farther away from your subject. So, if you are photographing bugs for example and your using F16 with a 105mm macro lens and are 5 inches away from your subject, you may have less than an inch of depth of field. If you take that same lens and photograph something more distant, say 30 feet away at F16, you will have several feet of depth of field with the very same lens. ( BTW, lenses that produce the subject from 1/4 to 1/1 of its' actual size on the film or on the sensor are called "macro". Anything above that- larger than life, is Micro).
Also, lens focal length plays a part in this as well. A wide angle lens has more depth of field at the same aperture (let's say F16 again) than our 105mm at F16 and focused side-by-side at the very same object. Also, there is a change in perspective as well. The wide angle makes things look farther apart in comparison to real life while a telephoto compresses things and makes them look closer together than they really are. When you see photos where the sun looks HUGE in comparison to other objects that it normally appears to be in the frame, it is made with a telephoto lens. When you see a photo of a tree with a lot of detail on the left side of the frame, and mountains far off in the distance and EVERYTHING is sharp, it was made with a wide angle lens.
Most likely more than you wanted to know, but hope it is helpful.
Cordially,
Mark