Never played a Resident Evil game before. Should I just start with the Remake, or is it worth playing the original RE1...

Rev2 is fine

On the contrary.
It's still a shitty game.

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If you like slow paced games with focus on exploration go with REmake, if you want a bit more of focus on action go with REmake 2.

I'll just let you know that there's weirdos like me out there that love the original RE1 and aren't big fans of REmake.