I used to train animals at a zoo (to help with their care, e.g. having them hold still while we took blood samples). (Planners have all kinds of backgrounds) A few good rules:
#1 Be consistent. ALWAYS do important things the same way. Like don't ever allow her on the furniture unless you are willing to have her on there any time. Sometimes yes/sometimes no will drive her nuts. She won't be able to figure out what's OK and what isn't. Like don't let her eat from the table unless she will be allowed to do that any time (if she goes for the food on the table, tell her NO and distract her to her own food with treats). Remember that she sees you as dominant and will want to please you. Your job (and that of the kids) is to make sure she knows how to do that. Consistency and repetition is the key. If she's not sure what you want her to do, she'll try a hundred different things and/or give up in frustration.
#2 Use lots of positive reinforcement. Sometimes food treats (I use commercial dog treats like little jerky strips, and break them into smaller pieces. They work no matter what size they are), especially early in training, and give effusive praise and pats and pets at the same time. Then start tapering off on the treats, randomly, but still give the praise. Eventually you'll be able to just give the praise. Good punishment when she is insistent on not doing what you want is to turn your back on her (assuming she's not running loose, which is a bad idea with a dog that apparently is a hunter/aggressive).
#3 The only time I ever use anything like physical punishment is when one of our dogs (our rottweiller mix) acts aggressively (the other one a coon hound mix, wouldn't act aggressively if his life depended on it -- example: another dog had hime by the throat on the beach one day. His reaction was to sit down and wait it out.) towards me, a family member, or a guest who is in the house (barking is not aggression). I flip her onto her back, hold her down tightly by the throat (not choking, but firmly in control), look her in the eye, and yell at her. That seems to give her the message that she's gone over the line and then she's as good as gold.
#4 Be consistent.
#5 Get her good obedience training. That will show you how to be consistent. Which you should be.