The dailies and their currency rewards are account-wide. Earn them on any character and the Loyalty Point Tokens show on all characters across your account. You can only earn one token per day, total.
In your quest journal is a new tab called "Daily Objectives." Exactly which tasks are available each day changes: you are given two Adventure related Objectives, two Tradeskill, two PVP, and one Exploration. You only have to complete two objectives of any kind to complete the day's objectives. The objectives have a countdown timer, and change at 00:01 Pacific time.
|Visit Unexplored Locations: 0/3||Any new discovery point of interest will do.|
|Slay Creatures: 0/25||Any green-con or better creatures.|
|Slay Different Types of Creatures: 0/8||What makes a "different" creature seems to vary.|
|Slay Boss Creatures: 0/2||Any green-con or better creatures.|
|Craft Items: 0/8||This counts combines, not yields. Does not have to give XP.|
|Craft Writs: 0/2||Items created for writs do not count for the "Craft Items" objective.|
|Craft Different Items: 0/3||This counts combines, not yields. Does not have to give XP.|
|Harvest Resources: 0/40||Counts actual number of resources harvested. Any node works.|
|Win Battlegrounds Matches: 0/2|
|Complete Battlegrounds Matches: 0/3|
|Slay Different Classes of Players: 0/3|
|Slay Players: 0/5|
You can click the little arrows next to the daily objectives on the quest helper window to minimize the objectives. They do not take away from the 10 quests you can have active in your helper window. 
According to Gninja, the rewards will be evolving over time. They vary from fun veteran's rewards (for one token) to Mounts (30 tokens) and Fabled charms (25 tokens).
|Game Update #67|