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Question : decided to learn about Existentialism, what to read ?

Hello, I've decided to learn about Nihilism and Existentialism, what books should I read and in what order ?

Most answers I found just throw authors names - Kirkegaard, Nietzsche , Sartre , Frankel ...

I decided to start from Kirkegaard - Fear and Trembling, Is thats the right chose ?

Sorry if it's weird question, philosophy is very new realm for me.
gpt
The Ethics of Ambiguity by Simone de Beauvoir. She never got the same fame as Sartre and Camus but this is definitely a very approachable and understandable text compared to others. That and Sartre's Existentialism is a Humanism are a good quick pair and then if you feel like tackling Being and Nothingness and other massive tomes, go for it.  

Also, for a great read which is about 50% philosophy 50% history/biography, check out Sarah Bakewell's  "At the Existentialist Cafe" which is a great overview of existentialism and its major players. Draws a nice narrative line from Heidegger and Husserl through Sartre, Camus, de Beauvoir, Merleau-Ponty, and many others.