M'kay.
Um, you do realize that Care Bears is a nationally known and highly popular franchise which has been enduring for over a decade now; it's not just some obscure 80's toon that only you and a select few other people remember, right? Ask around, I'm sure you'll find many people who are familiar with it.
Care Bears was more than just a Nelvana cartoon; it began life as a series of greeting cards from American Greetings, then there were 2 syndicated TV specials which weren't produced by Nelvana, which were followed by a short-lived syndicated series produced by DiC. That was followed by The Care Bears Family, the first Nelvana-produced series, which ran on ABC. A syndicated Care Bears series, also produced by Nelvana, followed that, which combined new episodes with selected episodes of The Care Bears Family. There were also 4 Nelvanamated Care Bears movies.
Then came the 21st century revival from American Greetings, which gave rise to a few made-for-video movies and specials, then most recently there's the new Care Bears Saturday morning cartoon which airs as part of CBS's KEWLopolis block.
As for having episodes on tape, you could always try searching eBay for some old Care Bears videos.