Some headsets have a more powerful noise cancellation than others. While none of them will completely eliminate sharp noises like baby cries and dog barks, they will suppress them a lot and bring out your voice, so that your clients will hear you much better than otherwise.
Dog Bark Control: Dog Bark Training Collars | PetSmart
Elizabethan collars, formed like a truncated cone, might be fitted over a Pet dog to prevent it from scratching a wound on its head or neck or licking a wound or infection on its entire body. bark suppressor Grantville GA 30220 (33.2473, -84.835)
The Ultimate Dog Silencer™ Collar - Humane, Shock-Free Bark Control
Make a ultrasonic Dog Barking machine?? - Instructables