I want to start getting into Yu-Gi-Oh! where should I start?
If you want to start watching the series you should better start from the first anime adaptation of the manga with the same name released in 1998. 

see Yu-Gi-Oh! (1998 TV series)
It is based on chapters 1-59 of the Yu-Gi-Oh! manga series. here is a list of the first 59 episodes in the anime.

You should check this post. What's the correct order in which to watch the Yu-Gi-Oh! seasons/episodes?

For the Movies here is 5 titles. source: yugioh.wikia.com

Honestly I am a fan of the Anime and its Card-game gameplay. I even attended Conventions here in our country where dual matches were held and participated by trading card enthusiasts.