If you look at your motor's diagram:

You'll see that you leave the capacitor to motor connections alone and just change where your black wire connects (shown as L2 in that diagram). It needs to either connect to the red motor wire for CCW rotation or to the blue motor wire for CW rotation.
You can do this with a SPDT switch. You have a DPDT, which just means that one side of the switch will be unused.
If you look at ONE SIDE of the back of your switch, you'll see three terminals / screws. The center one is where your black AC wire connects. That leaves two terminals. One of them goes to the red wire and the other goes to the blue wire. It is your preference which is which depending on whether you want UP to be CW or CCW.
If you look at your capacitor, you'll notice that it has dual terminals on each side. You can catch those switch connections right there. Note that the red and blue wires as they are now, connected to the capacitor, *do not change*.
Let me know if you need me to draw it up. I'm not an electrician.