While I hate the word "bulk" because many people view it as an excuse to try and force weight gain (which inevitably leads to fat gain), I would suggest trying to intelligently figure out how many cals you need, and a correspondingly smart macro breakdown in order to support gains as well as your mma training.
Keep in mind that the human body can only build muscle at a given pace, and any food eaten beyond what is needed will be stored as fat. This is true for everyone, no matter how much some people think they are different. IMO, the whole "try to gain a lb a week" approach you always find from online experts always leads to a 75% fat gain. Now, unless you are starting off drastically underfed, if you were to instead aim for a 1/2 lb per week gain, netting ~2 lbs per month, you'd most certainly end up with a higher percentage of actual muscle gain, maintain a fairly (i'm assuming) physique in the process, and not end up with buyer's remorse when you realize that most of your "gainz" were fat.