The official answer is to delete the subscriber and recreate it pushing a new snapshot to the subscriber.
The much quicker and easier method is as follows.
1. Stop the distribution agent on the machine that it’s currently running on.
2. Disable the SQL Agent job that runs the distribution agent.
3. Script out the SQL Agent job from the old server and create it on the new server.
4. Enable the job on the new server.
Done. You have just changes replication from being a push to a pull (or from being a pull to a push).
If you wanted to you could even setup your distribution agent on a third computer, but it is easier to keep track of everything if it’s running on the distributor or the subscriber.