Background & Advice for a self-learner of Descriptive Set Theory

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A rather straight to the point soft-question: What kind of background should have somebody who wants to study properly descriptive set theory?

More specifically, how much analysis should she/he know?
Beyond the actual amount of knowledge, how well should this person deal with standard $\epsilon - \delta$ arguments?

Do you have any advice for somebody who wants to embark in this project?

Please, notice that I am completely self-taught, thus I have the feeling that the advice you would give to somebody who can be in some way tutored could be slightly different.

Thanks as always for your time and your feedbacks.