Items you will need:
-a large flat mirror, at least 1 ft square. A couple feet on a side would be perfect.
-binoculars or spyglass
-some kind of support. A 2x4 works great.
-some clean dry rags (optional, but recommended)
-an outdoor table, but a level patch of ground should work too
Step 1: Take Your Mirror Off the Wall, and Put It Outside.
Step 2: You Don't Need a Tripod.
To make your observations and keep them fairly steady, prop the board against the table. Use one of your feet like a chock on the bottom of the board and you till be able to lean against the board and the table, provided you have a sturdy enough table.
Place your binoculars (or whatever) on the top of the board. You will find that the flat edge of the board allows a good contact area to hold your optics still, but allows you to pivot easily to sweep across the sky.
Tip: practice controlling your breathing to hold still while trying to look at faint objects. Exhale slowly and in a controlled manner while adjusting your focus for best results. If you have done any low light photography w/o flash using point-and-shoot cameras, you are probably already familiar with this idea.
Step 3: Observe
So, get out your star chart, gather round your mirror table and see the sights! When the mirror starts to get condensation on it, buff it off well with your soft cloth. Depending on your climate, this may be frequent.
I took the below picture of the moon with a point and shoot digital, not even using my monopod/board. It's not great and I'm sure you'll do much better, but it's 100 times better than the result of pointing the camera up at the moon with my head tilted back.
That's it! Have fun!