Hello Jessica and to EBN and the wonderful world of Bulldogs!
Bath - Oatmeal shampoo is good and be sure to only bathe as needed since you do nt want to strip too much of the natural oil form the coat.
Wrinkles -- unscented baby wipes are a good choice... I use witch hazel on a cotton pad when they need a real good cleaning.
Allergies -- these babies can be allergic to a lot of stuff. Big ones are chicken, grains and environmental stuff just like us. Benerdyl up to 3x a day... 1mg per pound of bully
Food --- good lord... Purina What ever you decide to change him to, do a slow switch over 7 -10 dyas to avoid the . Here is a link to help with your research.