Learn Hardcore Turkish: Duştan çıkınca bornozla ısınıyorum. - When I get out of the shower, I warm up with a bathrobe.

Duştan çıkınca: “when/once I exit the shower” (focus on the act of exiting).
Duştan sonra: “after the shower” (broader, doesn’t mention exiting).
Duş aldıktan sonra: “after taking a shower” (focus on completing the act of showering).

-den/-dan is the ablative case: “from/out of.” With verbs like çıkmak (to exit), the place you leave takes the ablative.
Because duş ends with the voiceless consonant ş, the suffix surfaces as -tan (devoicing).
Vowel harmony picks a (back) rather than e, so the correct form is Duştan, not “Duşten/Duşdan.”

What exactly does çıkınca mean—“when,” “whenever,” or “after”?

-ınca/-ince/-unca/-ünce forms a time clause meaning “when/whenever/once (after).”
It often has a “whenever” or immediate-sequence feel: the main action happens once the first event is completed.
For “while (doing),” use -ken: Duştan çıkarken.
For “as soon as,” use -r … -r … -maz: Duştan çıkar çıkmaz.
A more explicit “after” is -dıktan sonra: Duştan çıktıktan sonra.

How is çıkınca formed?