There are a few rules that one must remember when chaning one's own oil.
Use the correct wrench (covered previously)
Use a catch pan for the used oil, oil must be disposed of properly
Get the car up to running temp before the oil change, this ensures that the oil is hot enough and any settled dirt is in suspension. This ensures that you are removing the most amount of grime from the engine. Also, cold oil is more viscus, and more dirty oil will remain if the engine is cold.
Always remember to replace the oil plug gasket if so equipped. This will ensure that you do not overtighten the plug and it will help to safeguard against plug-leak.
Use a good oil filter and oil that meet/beats the manufacturer specs for your engine type.
-SF
3 Years of fast-lube experience from highschool.