First of all, this has nothing to do with toys or cartoons or nostalgia. This is also not specific to this forum. It may seem a bit petty since this is the internet and the internet is very casual in terms of grammar and such, and there is of course such a thing as "typos", but...
"There, their and they're":
These are three different words with three different meanings.
"There" most often denotes a location.
(*ie: "When I removed your bra I threw it up there on the ceiling fan."

"Their" is used to show possession.
(*ie: "When those cheerleaders got drunk at my place, they stripped out of their clothes right in front of me!"

"They're". This a contraction of "they are" and is used to express a quality or action.
(*ie: "Her breasts are saggy so they're not very attractive. Especially when they're flapping in the wind like that."

Far too often online these words are used in an interchangeable way and it just drives me nuts. It also bugs me when people mix up "your" and "you're". But maybe the "their" and "they're" examples above will help someone out with those.
Again, sorry if this seems petty but I have a grammar-obsessed mother and I had a dictator of an english teacher in high school (same teacher for 10th, 11th and 12th grade! They just kept sticking me in her class.) I just really needed to get this out. If you read this far...thanks.