It really depends on the dogs and the space. Some people say that their dogs are fine with chins, although having them in contact is really not recommended.
Will you have a separate room for the chin so that it doesn't feel threatened by the dogs? Do you have an okay area for play time where the dogs would not be able to access as well?
I second Laluvschins comments on the barking. There should not be excessive or stressful noise going on, especially during the chin's sleeping time.
Yes, there are plenty of owners on here who have dogs and chins in the same house, but a lot of it depends on your dogs and your space.