'Take your time' = There's no need to rush, use as much time as you need without hurrying. 'Take it easy' is used to tell someone not to be worried or angry. = Don't worry, relax, calm down.

"Take your time" means there's not a deadline... it's "your time", so take as much as you want when doing something. "Take it easy" means whatever situation you are in (="it"), accept and work with it using a calm, no-stress, easy attitude. This is also a common farewell, where you wish the person a stress-free time until the next meeting.

'take your time' = man man lai (慢慢来） 'take it easy' = fang song (放松）

'take your time' means 'you don't have to rush' or 'do it at a speed that is good for you.' 'take it easy' means 'relax' or 'calm down'