~Bandit~ & His sister the cat are not getting along any ideas....

Hi Donna,
Do you have any solutions on getting a cat and dog together, I've tried but Bandit (A Lucky Pup) just takes off like a bat and of cause the cat runs away. Tonite I had him on a leash in the living room ,and she was on the arm of the couch, and I know if I didn't have the leash he would of taking off. He is such a great dog in every other way. I would just like them to get along that they could both be in the room at the same time. I hope I am not being a pain writing you . She just wont stay still once he is off the leash . Or should I just let him chase her around for a couple of days until he get tired of doing it. The new pups are great wish I could have more than one there so cute.
Thanks for listening Bandits Mom Julia
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I found this info. below on a website, maybe it might help - Our dogs kinda pest our cat Joe too, but we just let them roam around the house together. When they get a bit rough for Joe he let's them know it by giving one hiss and then his nails are coming out.
If anyone has any other tips or ideas for Julia please send them to me and I will forward them to her.
Introducing Your New Dog to Cats
You'll need a highly controlled environment to introduce your new dog to a cat. It helps to have two people so that one person can hold the new dog while the other praises each animal.
Keep the dog on leash. A chase may ensue only if the cat runs, but dogs with a stronger prey drive pose a greater threat. Firmly correct your dog at the first hint of undesired behavior, and don't unleash her around your cat until they are interacting calmly.
While you shouldn't keep the pets entirely apart, make sure you are supervising when they are in the same room in case trouble breaks out. Warning signs in cats include a direct stare, elevated hindquarters, and fur standing on end. If the pets seem to be accepting each other, praise each animal and reward them with treats and petting.
Litterbox accidents are likely, since cats will be disturbed about the newcomer. Your cat may hide or seek higher ground for days or weeks until she is ready to accept the dog. Make sure she has places to retreat that the dog cannot access. Also be sure to block the dog's access to the cat's food and litterbox. You can attach a bell to the new dog's collar to keep track of his whereabouts.
Be careful not to praise undesired behaviors. For example, petting and soothing an agitated or growling animal will reinforce the wrong response. Reward only calm, desirable or at least neutral behavior.
A dog with a high prey drive can be taught to coexist with cats; this requires concentrated practice involving the assistance of another person. First, you must train your dog to understand and obey the "Leave it" or "No" command. Put a training collar and leash on the dog and place him in a sit/stay. The other person stands at a distance, holding the cat. Do a firm leash correction at the start of any suspicious behavior and firmly state "Leave it" (or "No"). Praise and treat your dog for remaining calm and in the sit position. When the dog behaves, the other person can move closer; praise or correct the dog as needed. Continue for 15 minutes and try to end the training session on a positive note.
Training a dog to leave small animals alone requires patience, as it can take weeks. For the animals' safety, don't leave them alone together, and separate them at mealtime.