Congrats!

Here's an easier tip for dealing with the rear derailleur (and you won't get your fingers dirty).

Before removing the rear wheel, shift into the smallest cog. This moves the r.d. to it's outside limit away from the bike.

Then, face the rear of the bike with the saddle leaning on your hip. Place one hand on the saddle on one on the top of the rear wheel. Simultaneously push the wheel down while pulling up on the saddle (lifting the bike off the ground). Voila! The rear wheel will come right out.