Sharon, open up TPE and follow these pointers:
Let's start with the Sun/Moon curves on the bottom part of the screen. Put the calendar to "today" which is Tuesday, January 27, 2015. Sharon, I'm putting the pin on Nashville, TN.
The bottom line (with the cursor) is the time of the day. Drag it over to 6.51am, which is the sunrise. The yellow line (representing the sun) is about to rise above the horizon (the 0.0 degree horizontal line). If you now look at the map graphic, you'll see a thick yellow line pointing to the East-South east (or 112.3°).
Drag the time cursor (bottom line) and move it to 9:00 am. The little table next to the vertical line says the sun is 20.7° above the horizon, and in the direction of 134.0° (North being 0.0, due east being 90.0°, due south being 180.0°, and so on) on the thin orange line. The moon (blue line) is below the horizon. Did you notice that as you dragged the time cursor from 6:51am to 9am, the thin yellow line moved as well? Well that line is pointing towards the sun.
Drag the time cursor to the time of 11:30am. That is when moonrise will happen (it crosses above the horizon line), and you need to be looking in the direction of 35.0° to see it. However, practically speaking, the moon needs to clear the horizon by at least 5° and usually 10° to be easily visible. So, keeping an eye on the blue square (representing the moon), drag it over so the vertical distance is now 10.0°. That will happen at 12:27pm. If you now look at the map, you'll see the direction (thin blue line) you will need to look to see the moon 10° above the horizon, namely 81° (which is just slightly north of due East).
As you drag the time cursor towards the right, notice that both the sun and moon projection lines (the thin orange and blue lines) also move.
Now drag the time cursor to 17:08 (5:08pm). This is the sunset, when the sun dips below the horizon (represented by the 0.0° line). Notice that the thin orange line disappears into the thick line. The thick orange line represents the direction you need to look to see the sunset (247° or a little south of due west). If you now look at the moon information, it is 62° above the horizon, and in the direction of 138° (which is almost exactly south-east).
Now... let's say you want to catch the new moon setting just after the sun. You want a very thin cresent, and if you go to the calendar (upper left) and advance to February 20, 2015, you'll have a cresent of 3.7% full. Let's also assume that you're going to the J Percy Priest Resevoir, and you will go to the Cook Public Use area, at the end of Old Hickory boulevard so tha you can have a good look over the reservoir towards the west. Drag your pin over to that location and plunk it down. At the time of sunset (occurs at 17:32), the moon will be about 25° in the sky, in the direction of 250° which is 20°south of due west. Right after sunset, the sky is still kinda bright, so let's wait until civil twilight end which is at 17:58. So grab the time cursor along the bottom and drag it over to 17:58. The moon square says that the moon will still be about 21° degrees above the horizon. Perfect. So take a shot.
Now, wasn't that easy?