I was trying to give my car a oil change and the oil drain plug won't move? I have tried just about everything and it won't move?

Please, if you have any suggestions on how I can break this to move, I would really appreciate it!

Sounds like the previous oil change used an impact to tighten the plug. do you have an impact wrench or a cheater bar? Or better yet take it to chevy for the oil change, if they have to mess the plug up there are plenty more there

Man can you get vice grips on it?

Slip a pipe over your wrench's handle for more leverage. Or use two wrenches together for more leverage. Or use a breaker bar for more leverage. Or use a breaker bar and a pipe over the breaker bar...
I was able to remove the inch diameter bolt on my crankshaft with a 4 foot breaker bar and a pipe; that bolt is installed with Red Locktite under about 300 foot pounds of torque. There is absolutely no such thing as a "stuck" fastner. There are only broken fastners. Every bolt in the world can be made to move easily if you apply enough leverage to it; the only issue is that some times they "move" by shearing. This is basic mechanics 101: If you put 50 pounds of force on the end of a foot long wrench, you will produce 50 foot-pounds of torque at the head. Make that wrench 4 feet long, and now the head will turn with 200 foot pounds and be able to snap the head off a 1/2" bolt.

Your oil pan is too thin to shear a bolt though. I'd put a breaker bar in there without a second thought.

Here is what a breaker bar looks like:
http://www.machinemart.co.uk/images/library/product/large/04/040210077.jpg

Those things are as common as they are cheap. The one that I used to get my crank pulley off was a 23 dollar breaker bar from Wallmart :lol:

Man can you get vice grips on it?

Great way to round off a bolt head so nothing else can grip it. Vice grips are the absolute last resort and they usually don't work.

A 6 point socket and impact set on LOW will knock it loose.