Antonyms for the phrase "took a flyer" are grounded, calculated, careful, cautious, and considered. "Took a flyer" means to take a risk or a chance, especially without much forethought or planning. Therefore, its antonyms convey the opposite meaning, of being thoughtful, deliberate, and cautious in decision-making. One who is grounded considers all the pros and cons before making a decision or taking action. Being calculated implies making rational and well-thought-out decisions based on available information. Being careful means taking precautions to avoid unwanted consequences, while being cautious implies an awareness of possible risks and taking steps to minimize them. Finally, being considered suggests thoughtful weighing of options before taking any action.