If you care about the environment and animals (which it seems you do), you have to collect all the old coolant. I let the coolant drain into my large oil pan and then put it in a used orange juice jug (nice and sturdy) - label the jug with a Sharpie that it contains used coolant. You will only get about a gallon of used coolant that drains out.
Check and see if your community has a free household hazardous waste day - usually communities do this once or twice a year and collect old paint, batteries, coolant, etc. for free. Give your local health department or EPA office a call (or try and Google it). It is unfortunate auto parts stores do not accept coolant (like they do for used oil).
Changing your coolant is sort of fun and rewarding job and probably one that is not done often enough. Use distilled water. I prefer the Toyota OEM red coolant - especially if this is what you already have in there already and aren't going to do a whole system flush. Check my thread about burping when done. Your car will thank you!