Just Lithium based tools and I take it out when I remember, usually within a day, sometimes days go by before I check. Most batteries have pretty sophisticated circuitry these days. My Makita LXT batteries, if I bring to a dealer, they can check how many cycles it has gone through by plugging it in.
My experience has been that batteries that go many months without use can have issues, batteries left in the charger have not given me problems.
When I get a battery, first thing I do is grab a Sharpie and write the date I got it, that way if one goes dead, I know if it is 6 months old (defect) or 5+ years old (normal).
I have Makita LXT (9 batteries), M12 (11 batteries), Ryobi (6 Batteries) and a couple of 12v Ridgid. I have a system that I have trained the girlfriend on also. All batteries are lined up by brand on a shelf. Anything that gets charged goes to the back of the line once charged. Need a battery, always the first one, rotation is very important to have them last long. A battery at the front lying on its side was used and put back, example, my drywall screwdriver, circ saw. Only a couple of popular tools like drill and impact always have a battery, everything else, battery comes out after use.
Something important that applies to all batteries, tools, laptops, phones...etc. They all have a given life in charging cycles. I have seen many people with pones or tablets have it drained, stick it on the charger. AT 40% charged remove it because they needed it, then put it back later. This is now 2 cycles. Also recharging when it is down to 40-50% left, again, you are using a cycle. I know this is less of an issue with tools as most will have spares, but I believe you shouldn't charge them till they are 10% or less, and once charging, don't remove them till they are complete.