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"Keep your hands to yourself" is a common idiom that means the same thing as "don't touch!" It can be used in many different situations - for example, you have several young children with you as you're browsing through a shop that has expensive fragile items on the shelves. You might admonish your children "When we go inside the store, I want you all to keep your hands to yourself. If you accidentally break anything, I'll have to pay for it."

When a teacher of young children notices the boys playfully punching one another and pulling the girls' hair and such, she might announce "Everyone keep your hands to yourself or there will be no recess today!"

A woman in a nightclub might find that the man sitting next to her is suddenly getting a little too "touchy-feely" - that is, while they're chatting, he places his hand on her knee. She might forcibly remove his hand and tell him, "Please keep your hands to yourself or I'll kick you so hard your grandparents will feel it."