Measure 3-4 cups water into pan, add 3-4 boullion cubes and quite a bit of pepper (5-8 shakes). Thyme is also a nice flavor for chicken noodle if you want. If you have some and you want, use just a sprinkle.
Add chicken (it can be frozen), chopped onion and chopped celery--with leaves. Bring to a boil then turn down to about medium-low. You want it to be simmering (slightly boiling).
Meanwhile make noodles. 2 eggs to 1 cup of flour, season with 3-4 shakes of salt and pepper.
Here's a video: http://www.youtube.com/watch?v=WhSS_QuIuA0 (watch both parts)
I don't use my hand. You can decide. But the way she cuts them will work very well since you don't have a pizza cutter.
Let them dry while your soup simmers.
About 45 minutes before eating, remove chicken and shred. Bring soup back to a boil and add chopped carrots and noodles. Simmer until noodles are cooked.
Happy cooking!