We eat meat. Meet is in the word, meeting. We use our feet to walk to a meeting. This spelling of here means a place which is close to me. Their has the word, heir, in it.
Heirs inherit things that become their possessions.
They're is a contraction for the two words, they are. Think about what you are saying. If so, you can use this spelling, they're. Your has our in it. Think of your and our books, house, or whatever.