I'm not sure if anyone suggested it or if you are using it, but a spill free funnel and parking on an incline helps a lot with purging all the air from the engine cooling system.Yeah, this made things exciting.
My owner's manual says the capacity for my 2002 (sans rear heater) is 8.5 quarts. I got 8 out during the drain (both the initial coolant drain and the "rinse") so I calculated .5 quart of some fluid left in there that was anywhere from .5 quart of 100% distilled water to some diluted version of distilled water @ .5 quart. I'm assuming it was more water than coolant at that point. I did some guesstimating in Excel and figured I was probably in a ratio range between 52:48 to 48:52, distilled water to Toyota Red.
Something like this is what you're looking for: Amazon.com: OEMTOOLS 87009 No-Spill Coolant Funnel Kit, Near Universal Fitment, Translucent, 15 Piece Set, Cooling System Funnel Allows Access To Hard-To-Reach Radiators: Automotive