Come often means “the fun has ended” to your dog so the new cue needs to be fun and exciting. Sometimes the environment could be just too exciting for your dog. Or perhaps another dog is approaching, and you don’t want your dog to pull or lunge toward them. “Let’s go” is a handy phrase that means ‘I want you to move with me now’. Sometimes it means ‘we need to turn around and go the other way’. Use this phrase often to encourage your dog to follow you whether it is in the house, on the property or somewhere else.
This should be initially taught off lead for your dog to make the right choice. This should be lots of fun, make some noise (hand clap) if you need to get your dog’s attention. Praise them when they start to follow you. Practice this often so it becomes a default behaviour for you and your dog.
When your dog is on and you need to say “Let’s go” you may need to gently pull your dog away from the distraction. If your dog is happily responding to the “Let’s go” cue off lead, then pulling your dog shouldn’t be seen as a bad thing. Praise your dog the moment you feel the lead go slack, as that means your dog has chosen to move with you.