In addition, I use a screwdriver and tap a little hole in the top of the old filter before I take it off to make sure all the oil is out of the filter. Otherwise, before I did this I usually got some oil dripping down into the nether regions of the engine block where it'll burn off and smoke for a bit.
Also, I just idle the car for a few minutes instead of taking it for a drive.
I usually just use the FRAM filters because they are cheap and easy to get and I change them religiously. But the Toyota filters are better, and the Mobil 1 filters are probably just as good though a little more costly. I never use a oil filter wrench because I don't want to over tighten the filter.
Other hints:
Get a paper funnel from the parts store. It eliminates the chance of missing the fill spout.
I believe it the drain plugs is 14mm, so make sure you use a socket wrench or normal wrench. Don't use anything else, or you might strip the threads. Also, don't over tighten the drain plug. Loosen the plug with the oil drain pan already positioned under the opening.