Hi @bigmac - welcome to the board! TOTW is a good food and appropriate for all stages of a dog's life. It's grain free so it's very good for bulldogs and their allergies so I think it's a decent option. If you reference our Dog Food Ratings, you'll see it is a highly rated food.
How old is your bully? The reason I ask is because TOTW is VERY high in protein and can sometimes be hard on the large breed puppy in that you want the puppy to grow slowly, giving those bones time to develop big and strong to go along with the rest of the body. I have two bullies, one adult and one 11 month old and I fed the younger one puppy food (with grain - but good ones, NOT corn) until he was 8 months old. They generally do not develop allergies until they are over a year old and a quality puppy food helps support controlled growth and nutrition specific to puppies in ways some all stages food does not.
I personally fed TOTW to my bully had it resulted in an increase in yeast in his wrinkles and tail. After research and advice from this board, a possible link between yeast and the potatoes and sweet potatoes that are main ingredients in MANY grain free foods was revealed. So I switched to Nature's Variety Instinct, which is a grain, gluten, and potato free formula and have had excellent results.