with one's eyes peeled

circumspect discreet judicious leery prudent tentative vigilant wary watchful

alert safe

all ears cagey calculating chary considerate forethoughtful gingerly hedging one's bets heedful keeping on one's toes on the lookout playing it cool playing safe politic provident pussyfoot shrewd taking it easy taking it slow thinking twice walking on eggs watching one's step watching out

careless certain foolish inattentive incautious indiscreet negligent rash reckless sure thoughtless uncareful unwise

hasty heedless imprudent unguarded unobservant