TO FACE UP TO - [verb] to accept something unpleasant or difficult
Examples of use
At the time of the economic crisis many people will have to face up to the loss of money.
Now she's a mother and she'll have to face up to her new responsibilities.
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English speaking practise
Remember that if you don't use that word in English conversations or writing you'll forget it in a short time. So the best thing you can do to learn this word is just trying to use it in speaking or writing. Remember also that practise is the key to fluent english speaking.
You can always find a partner, who would also like to improve his/her