Yes, it is normal especially with bulldogs. They tend to be food aggressive. My 2 bullys didn't really give me problems. They did the food aggression but it was easy for me to correct. They used to steal from the other's bowl if they get done first which causes the other dog to snap at the other. They eat side by side on the kitchen floor. I sit on the floor with them until they're done eating (my dogs eat lickity split!) so I'm always there to stop the stealing. What I've always done is to make the dogs sit on their "spot" on the floor while I prepare the food and give them the Stay command. They don't get their food unless they are sitting. And they don't get their food until I call their name and put the food infront of them. And I put the food down by heirarchy (Gizmo the 13 lb bichon gets his first because he has been with me longest, then Bullie gets hers and then Angus because Angus is happy to be the omega dog). Then after they're done, they would sit again hoping I'd give them more (pigs!) and when nothing is happening, they'd try to inch to the next dog and this is when I give the Stay command again so they'd stay put. After all the dogs have eaten, they all go out (I moved the water bowl outside because my laminate flooring started to buckle from the water spills) and go potty while I wash up.
It's a routine that everybody is used to and they know what to expect.
The first few times I would feed a dog (when we get a new addition to the pack), I don't let go of the bowl, so he has to eat the food while I'm holding the bowl. This is the same for the treats. A dog usually tries to grab treats from your hand the first few times, so I would hold on to the treat and they would try to grab it and realize they won't get the treat that way, so they try to slowly pull the treat out of my hand instead until they just get used to doing this all the time.
The trick to all this is to be always in control of the dog. They need to learn to listen to you at all times. If they try to do something you don't want them to do a simple correction command should grab the dog's attention - For example, my NO command is always enough to get the dogs to stop and look at me. I have to admit though, I don't train the dogs to listen to me. My husband does the initial training and I just do the day to day stuff after they're already "established" in the pack.
Not sure if this is going to help with Lola and Lucy but it's worth a shot.