/Notice how the /k/ sound at the end of “take” is held in momentarily to form the /k/ of “care” without making a vowel sound in between. This can take some practice. In my accent, the r at the end is unpronounced, but you can pronounce it if you like.
This is another phrase with the same meaning as ”Look after yourself”, and used in the same context, usually when we say goodbye. It’s very common.