Sandcastles - why are you being so harsh and unpleasant to the OP? She honestly thought she could keep and care for a dog, and thought she had chosen a breed that would minimise problems with shedding (I assume this was an issue she was worried about prior to getting the dog).
She didn't know ahead of time how much hard work is involved in raising a dog - I can empathise with that - we have a 5.5 month old chocolate lab, and it is much harder work than I was expecting. Even though dh had dogs throughout his childhood, and we discussed it a lot before making the decision to get a puppy, I still was not prepared for how it changed my life. However, we had waited until the dses were older, and until dh was in a job where his commute was shorter, so he gets more time with the dog, and so I am getting more help than MMM, so haven't reached the stage that she has.
Neither the OP nor I had a crystal ball - if MMM had had one, she wouldn't have got the dog - but she can't see into the future, so she did get the dog. Now she is being honest and realistic, and wants to do the best for the dog. Surely it is best that the dog is rehomed to a new family that is better able to cope with the demands of owning it than that it remains in a household where its primary caregiver isn't happy about the work involved?
OP - you are doing the right thing by rehoming her, and the other posters on this thread have lots of excellent advice on how best to do this.
One thought, though - might it help if she was given a really good walk by a professional dog walker a few times a week? The dogwalker should be experienced at working with young dogs and would be able to help with teaching the dog to behave on walks, plus the dog would get a big walk and come home nicely tired, and would get to socialise with other dogs, under the control of an experienced person.
Even if you do decide to rehome the dog, this might be worth considering if you end up fostering the dog until it's rehomed - it would be good for the dog, and would give you a break too (and perhaps a chance to get the hoover out and tackle the dog hairs).