My name is Lightning!

Several months ago two stray pups showed up at our doorstep. We believe they are brother and sister mixed labs. We took them in, but now realize we are unable to keep them with our three young kids. Thunder is the black female with white paws and Lightning is the yellow male. They are not housebroken; they stay in our backyard. They are diggers and used to dig under our fence regularly until we installed an invisible fence wire. They enjoy going on walks; they do ok on a leash. When passing other dogs, they sniff but show no aggression. They are friendly with our children, but they occasionally do jump up on them. Most of the time, they will sit on command. We have not seen aggression from either dog. The female does not like the male around her food, but does not mind if people are near her while eating.