Fate/Stay: Where to begin?

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I also just recently started with Fate Zero, had no knowledge of it before and no problem with it to understand everything, next I'm going to watch is Fate/stay night: Unlimited Blade Works

so if you want my suggestion:
Fate Zero 1+2
Fate/stay night: Unlimited Blade Works

and if you want more fate after this watch the spin-offs Fate/kaleid liner Prisma Illya, Fate/kaleid liner Prisma Illya 2wei Herz!, Fate/kaleid liner Prisma Illya 2wei!

you can skip the 2006 Fate/Stay Night anime as far as I know it's the most disappointing.