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If the dog is a well socialized and well trained dog and if your dog is as well, then they should get along just fine. But I would have separate area's set up so that your dog can have her own space and his dog can have his own space to begin with. Allow the dogs to meet each other on a loose leash outside of the home first, like at a park and then go for a walk together. Then once the dogs are relaxed and tired, go back to the house and supervise their off leash interactions. If the Cocker seems nervous and anxious, then allow her to go to her own space where the Bulldog can not bother her. It takes time for dogs that are not used to having another dog around to be comfortable.
The English and French Bulldog is known and beloved for its short/squishy face. But sadly, those faces can make life difficult for the dog when it comes to getting enough air and for regulating his/her temperature. However, if the proper cautions are taken care of, either breed should be able to live in a tropical area. The dog must have access to fresh/cool water at all times, shade if the dog is outside, but also be able to be inside with air conditioning. If those needs are met, the dog should do just fine.
I don't have ac and live in MN. I have had bulldogs for over 6 years. As long as you have a cool place they will be fine. Mine lay on the concrete in my garage or basement. I also put out a small pool for them to play in.
Depending on the genetics, diet, and general health, Bulldogs can live between 8-12 years but longer lives are not unheard of.
Bulldogs are not a breed that chews the food. Mostly EBD's gulp and just swallow the food. This adds a lot of air to the stomach because of inhaling. Sometimes the trapped air comes up like a burb and the food above the air comes out as well. This usually happens in a short amount of time after the dog eats. The other condition that causes this is because of drinking a lot of water right after eating. Again, because the food is not chewed, when the water is added, the food swells up. Again, causing possibly a too full tummy and again the water and the food is expelled. There are dog food bowls that can slow down how fast the dog can eat. Check pet food stores or online. Many different designs that slow down how fast they can inhale the food.
I had a Bulldog named Sissy. I looked at her one day because after she would eat then it would all come up. I felt her neck because it look bigger than it should. So we went to the vet and he did a bio; come to find out she had cancer. I'm not trying to scare you, but maybe you should get her checked out. I used to breed Bulldogs and I just lost my last little guy a year ago. Now I'm ready to get another one. His name was Peewee and I miss him a lot. Just be safe with yours. I'm not saying you have the same problem but just check.