Use 'take care' to show concern for someone's wellbeing in a sincere and personal way. You've been working too hard. Take care of yourself.
Pro Tip 2/3
Responsibility Hint
'Take care of' often implies that you're entrusting someone with a responsibility you believe they can handle. Can you take care of the dog while I'm away?
Pro Tip 3/3
Long-term Commitment
Using 'take care of' can suggest a longer period of attention, not just a one-time action. She takes care of her elderly parents every day.