[keep one's eyes peeled] or [keep one's eyes skinned] {v. phr.}, […]

[keep one's feet] {v. phr.} To keep from falling or slipping […]

[keep one's hand in] {v. phr.} To keep in practice; continue […]

[keep one's head] also [keep one's wits about one] {v. phr.} […]

[keep one's head above water] {v. phr.} To remain solvent; manage […]

[keep one's mouth shut] {v. phr.}, {informal} To be or stay […]

[keep one's nose clean] {v. phr.}, {slang} To stay out of […]

[keep one's nose to the grindstone] or [have one's nose to […]

[keep one's own counsel] {v. phr.}, {formal} To keep your ideas […]

[keep one's shirt on] {v. phr.}, {slang} To calm down; keep […]