I know there's a lot of anxiety/hate over the Toyota oil filter housings and oil changes, but I use the supplied plastic drain valve with the OEM filter and I don't see all the angst.
I use a 2 gallon bucket to catch the oil, both from the filter and drain plug. I do the filter first-
I loosen the filter housing so it can "breathe"....therefore emptying the oil faster/smoother. Then I remove the cover plate, put the bucket under the filter housing and use both hands to quickly shove the plastic drain valve up in there quickly. I let it drain while I squirm around, getting some paper towels, opening the O-rings, etc., putting the filter housing adapter back on my 3/8" extension.
Then I snatch the valve out, lay it on a paper towel, then finish removing the filter housing. I remove the filter, put it on or in a plastic bag, pour out the housing more, wipe it with paper towels. I also wipe out of the filter space in the engine. I like to make sure it's all clean. Trust me, at the 200k mile mark, when things still look new, you will appreciate it.
Put a new filter/O-rings on, button it back up. Then drain the pan. Little to no oil spilled, makes the most use of my time on my back, etc. I can do an oil change on a 5.7L engine in less than 30 minutes from the time I get a ramp out, tools, oil bucket, grab a new filter, 2 jugs of oil, funnel, crush washer, etc., and put it all back up. That includes laying there to rest for 5 minutes while I let the (hot) oil drain.