Day-to-day tasks explain travel arrangements and give details of stopover points. make sure accommodation, meals and services are satisfactory. help with passport and immigration issues. give talks about places of interest or find local tourist guides to do them.
In general, road managers handle tour details for their specific band, while tour managers are used to oversee the logistics, finances and communications for tours as a holistic entity.
It's worth noting that tour managers often double as personal managers. This means that they not only oversee the logistics of the tour but also manage all aspects of an artist's life. They are responsible for not only ensuring a smooth-running tour but also ensuring the artist's happiness and well-being.