I rinse my cuvettes in tap water then store them filled with RODI water. I picked up one of these on Amazon. It’s nice to have small quantities of RODI for this purpose.
I use just RO drinking water from the spigot near the utility sink and try to get out as much excess water as possible. I will then put them in a glass dish and microwave for ~2 mins to dry and completely eradicate anything leftover.
I also use RODI, and I seem to be in the minority. I get a measuring cup of rodi, rinse, test, rinse, test, rinse and fill the test vial with rodi for storage.
I'm sure it doesn't make much of a difference, but the glass stays clearer for longer and it's just "good protocol".
I mainly use the Phosphorus ULR HannaChecker and target really low phosphate levels, so I want to prevent any interference whatsoever and think RO/DI is the right way to do it.