Congrats! It sounds like you have picked an incredibly healthy diet.
With all the fats and protein you will be eating, you will likely feel satisfied for much longer after a meal than you would had you eaten a carb heavy meal. This is good because it means that you will naturally eat less. In addition, without the grains and other carb heavy foods, you will naturally regulate your blood sugar which means that insulin won't be shuttling excess glucose into your fat cells and causing you to gain weight.
However, it is possible for you to gain weight eating this way. If you are an emotional eater and tend to eat past your satiety point, it is possible that you will gain a few pounds. In addition, it is really easy to overeat on foods like nut butters, nuts, and cheeses so be careful with those. So in the end, while carb consumption contributes to weight gain due to the insulin response and contributes to overeating because of loads of other hormones that are turned on when eating too many carbs, it is calories that really count when it comes to weight loss.
Don't worry too much about all this though as it really is hard to overeat when you are consuming so much protein.