Puppies have to explore the world with their mouths because they don't have hands! In addition, yours will be teething at the moment so she'll be looking for things to chew and bite on. If she's a confident puppy she may also be thinking that the sofa thing is a game where she can throw herself about and get attention from you
Have you tried re-directing her onto a toy or a chew when she starts to get bitey? If you can get her interested in something that she's allowed to have in her mouth you can praise her for that instead of telling her off and crating her. You can also try giving her things that will soothe while she's teething. Some puppies like a frozen carrot to gnaw on, or you could buy some cheap tea towels, tear them into large strips, tie knots in the strips, dampen them and freeze them.
Try not to put her in her crate as a punishment or she may start to resent going in there. Her crate should be her den and her haven, so she needs to think of it as somewhere safe, peaceful and quiet that she can take herself off to for a sleep or a rest.
I don't know how old your children are, but if they're too young to be taught that your puppy isn't a toy and needs to be respected, or if they're becoming frightened of her because of the biting, it would be better if they don't spend a lot of time together at the moment, and any time they do spend together should be supervised. Can you use a baby gate to keep them separate so that the puppy can still see you all but can't get to the children when you're not in the same room to supervise. That would also be a good time to try putting some of her daily kibble ration in a puppy kong, add a little bit of mashed banana or soft cheese or peanut butter or natural yogurt smeared inside the kong and blocking the hole, to keep her occupied and quiet while she's the other side of the baby gate. It all helps her to learn that being calm and quiet is good and rewarding. It may also help her to sleep. Puppies should be asleep much more than they're awake when young and an overtired puppy, like an overtired toddler, tends to be grumpy and to have no self control.
I'm sure others will come along with helpful ideas too. The last time I had a puppy was 6 years ago so I've forgotten a lot of the "bad" bits