Antiperspirant

Use his. It contains the same active ingredients to prevent sweating. Usually, the only difference is the scent.

Skin moisturizer

Use yours. Men tend to have oilier skin than women, so lotions made for males have a lighter consistency, whereas those formulated for females are thicker.

Shaving cream

Use yours. Men’s shaving cream contains a higher amount of alcohol, which helps prevent razor burn. Women’s shaving cream is heavier to better moisturize.

Razors

Use his, but change the blade. Razors for women often have multiple blades and pivoting heads, like those made for men.