Always blowing breaker
The reason you're tripping the breaker is that the peak current draw with both items running exceeds the safe level for that wiring.
The answer is to plug one of them into an outlet that's connected to a different breaker.  (or use them sequentially :-( ).

The answer is most specifically NOT to replace the breaker with a 20 or 30-amp unit unless you've had an electrician verify the existing wiring is rated for the larger current load.