French Bulldogs are fabulous! I've been a pet sitter for over ten years, and for six of those years, I've had the delight of working with these lovely animals. They're a wonderful and entertaining addition to any family.
They may be small, but their personalities don't know that. They're as individual as humans, and they're quite expressive. They have a great sense of humor, are good with other animals as well as children.
If you want to train them, they're very food driven, so have some yummies to make the job easier. Your signals need to be clear, though. They're prone to frustration if they can't understand what you want from them. Visual cues are a huge help.
As much as you may want to take a Frenchie home, remember to take into consideration some of their health issues.
Grain allergies - Many bulldog varieties have a susceptibility to candida yeast infections, which can wreak havoc on their immune system and especially their skin. I would recommend a grain-free diet with a probiotic supplement to maintain healthy intestinal bacteria to keep this issue in check. They'll also fart less. :)
Corneal ulcers - Keep an eye out on, well, you're Frenchie's eyes. If they seem to be really irritated, you may be dealing with a corneal ulcer (commonly associated with viral infection). The pressure on the cornea from the ulcer behind it causes a great deal of discomfort for the dog, so the sooner you get it looked at, the better.
Corneal laceration - One of the cutest features on your little bulldog's face, those pop-eyes, are susceptible to getting scratched. Sometimes all they have to do is rub their face with their paws, or scratch an itch. Again, if your dog's eyes are red, irritated, or cloudy looking, go to the vet.
Slipped discs - Some over-enthusiasm on the part of selected breeders to shrink the French Bulldog down even smaller have lead to some spinal compression issues.
Breathing issues - Again, that cute little nose and stocky neck, if overemphasized by the breeder, can lead to snoring, sleep apnea, and collapsing trachea. The most loving thing you can do as an owner is to keep your Frenchie's weight at a healthy level. Being overweight exacerbates these issues greatly, and enough sleep apnea can lead to heart trouble down the line.
Overheating - Activity is good for every dog. Just respect your Frenchie's limits. They really do have a tendency to overheat.
Drowning - These dogs' physiology makes them sink like lead. They're just not built for the water, so don't take them swimming.
These problems are there, yes, but they're manageable. I do have to warn you about one more problem, though. French Bulldogs are like potato chips. You might only mean to get one, but soon you'll start rationalizing with yourself. "They're so little. They don't take up much space. What's one more?" Many a Frenchie owner will tell you, just one isn't enough!