Washing with baby detergent.

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So I plan to wash babies clothes and bed sheets with a free & clear detergent.

Do I also need to wash mine & hubbys clothes with a baby friendly detergent since she will be in contact with our clothes also? Or will sticking with our normal tide/downy be fine? Any opinions will be helpful! Looking to stock up before she comes and need to make the decision on what to use! Thanks 😊