I've taken care of a few. I would say it's a rather odd choice for a person that already has a dobe.
Where to start...
They can only be born by C-section as they have been bred to such un-naturally large heads so be prepared to pay as much as $5000 just to have one. Usually there is only one or two puppies in a litter.
Your vet must be familiar and experienced with the breed, they can be very sensitive to meds otherwise harmless to other dogs.
Be prepared to deal with health problems. A healthy english bulldog is almost an oxymoron. You will be a frequent returning customer at your vet's and as such make sure you have enough money set aside to afford all those vet bills.
Most common are skin problems. All those skin folds trap moisture and bacteria, they need to be thoroughly cleaned and dried multiple times in a day. This includes their faces, feet, elbows, you name it. As such they are very prone to all sorts of skin problems, hot spots, fur loss, etc. They drool, and all that drool gets on their legs, and all over their face, again you have to keep that skin dry. Even when you do clean them regularly, they can smell. I've met some that had stinky greasy skin/fur but could not be bathed because they would have an explosion of hot spots.
If you've never lived with a drooly dog before, make sure it is positively something you could handle. We're talking globs of sticky drooly mess splattered on your walls, tv, ceiling, smothered across the side of your bed and couches, your clothes, your car.. It gets every where and there is no way to prevent it. You just have to deal with it. They also shed short little prickly hairs that stick to every thing and imbed themselves in to any fabric. And since they're mostly white, you can see that hair on just about every thing.
They can be extremely stubborn. Extremely! Going on a walk with one can be like trying to walk a speeding bowling ball one minute and like trying to drag a boat anchor another. Some can become aggressive so training and propers socialization are very important. Especially since you will be dealing with what is a powerful and large (even though they're short) stubborn and head strong adult.
They tend to play by throwing their bodies into things, furniture, people, other dogs, they're very much body slammers and while it's cute to watch when they're puppies, it's no fun when they're a 60lb adult with all that body mass being that short and compact.
They can't handle heat well at all and they can have problems breathing even when the weather is fine.
Beyond that.. they are clowns, they are affectionate and dedicated to their family. They can be great pets, but a lot of people I know who used to have one refuse to get another one because it can be so painful to watch your beloved dog suffer as much as some bulldogs do due to all their health issues. Plus their life spans aren't any thing to brag about either. To be honest, they're wonderful dogs and every one I have met and taken care of have been sweet and funny, but I always get sad thinking about them. To me that breed is a prime example of what people have done to dogs in the name of unrealistic conformation at the price of suffering of those dogs.
The french bulldogs are a smaller and are much healthier as a breed. They are very similar personality wise, funny, devoted, still stubborn, but they have more spunk and are much more lively. You could also consider an american bulldog or old english bulldog, which are again similar in personality, but are taller, healthier, not as grotesque. Those two are more like what the english bulldogs used to be when they were working dogs, before conformation became more important then functionality.
One thing you have to be aware of with ANY bully breed is that they are known to having a tendency to become dog aggressive, even when raised with your dobe from puppy hood you could still have issues if you're not careful.
Old English Bulldogge
Bulldogbreeds.com would be a good site for you to visit.