Move a site to a new domain

Move a site workflow:
Delete existing domain mappings for the site.
wp search replace $old_url $new_url --all-tables; wp cache flush, avoiding trailing slashes.
wp rewrite flush --url=$new_url; wp rewrite flush; 
Login to the network site, edit the site, press Save Changes. (not sure why)
Verify site loads and login works.
re-add domain.
restart browsers because of cached redirects.