Trying to find train from Florence to La Spezia in mid June but the schedule is not available yet? Is this normal? What is the best route/time to leave Florence to La Spezia and is it worth upgrading the class of ticket? Thanks community!

That schedule should be posted any day now

Use a closer date to get an idea of the cost \, times, and type of trains.

Also, it helps to plug in your trip with dates and it allows you to choose to be notified by email as soon as the schedule is posted!  :)