yup, exactly correct. I'm repitching in a short time, so I simply sanitize mason jars and siphon the yeast into the mason jar. I boil additional water, chill it and top the mason jar off and put the whole thing in my beer fridge. I decant off the liquid prior to repitching. It'll easily keep a month (by getting it cold in the fridge), but I make a starter prior to repitching (unless I'm using it within the week).
The yeast washing sticky is really good, take a read on it before you get started.