Jack stands alone are too DANGEROUS for crawling under your vehicle. I've seen them fail when placed on asphalt on a slight slope--they slowly sank towards the front of the vehicle, and everything came crashing down. I strongly recommend buying ramps because it's much more difficult for your car to fall off them.
When draining the oil, don't barehand it: wear a pair of heavy duty latex gloves (keeps your hands cleaner) or Mechanix-type gloves (anti-knuckle busters).
Also, look around for other sources of possible leaks (oil pan gasket, other fluid lines, CV joint boots). A local oil change shop may not tell you anything, but I got a leaky tranfer case repaired under warranty because I looked around.
Keep your receipts for any possible future warranty/wear claims.
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Step-by-Step Instructions and Pictures for How to Do An Oil Change
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