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[*]While it's draining, remove the oil filter and clean the filter holder with a lint free rag
[*]Put a new oil filter back on (run some oil around the gasket of the new filter first) ...
Great advice in Schmee's message. Here's a cool way to deal with that oil filter - the 'paper cup' method.
One way or another, you will need to loosen the oil filter. Sometimes, you can simply loosen it by hand. Other times, it is just a bit too tight, so you might need to use an oil filter wrench to loosen it. Regardless, just loosen it - don't get carried away.
Once the filter is loose enough that you can turn it by hand, find a large paper cup which will completely surround the filter, with some space to spare. Foam cups and plastic cups work okay, too. Place the cup around the filter and grip the filter through the walls of the cup. Then, unscrew the filter and cup together.
When the filter unscrews a bit more, oil will run down - maybe half a cup or so - right into your paper cup. As you continue to loosen it, more oil will drip down. Finally, the whole filter will fall off the threads - right into your cup. Lower the cup with filter to the ground right below your work area, to let any additional oil drain out - right into your cup.
After all oil stops draining from the filter area, clean up everything. Oil the sealing ring on the new filter and
install it by hand - do not use a filter wrench. There are instructions printed on the filter. Basically, spin it on until the filter sealing ring makes contact - then tighten about 2/3 turn more. It's easy to do all of this by hand.