I would like to know if it's Haraam for a woman to take a shower or a bath during her periods (that what's people say around me).

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This is not correct. The woman during her menses can have a bath (or shower), even if there is no evidence about this. Having a bath is among the customs and in principle this is permissible, let alone when there is an evidence. Ibn Maajah reported that 'Aa'ishah narrated that the Prophet told her when she wanted to wear the Iharaam for Hajj (pilgrimage) and she was in menses: ''Undo your braids and have a Ghusl (ritual bath)." Al-Albaani classified this narration as authentic.

Allaah knows best.