If you don't have Swiftcast, get it. Now. No, I don't care what you're doing. Get it.

New healers also have a tendency to focus too much on curing and not enough on their surroundings. Just watch out for this and pay attention to when you do it so you can fix the problem.

Don't hesitate to use Sprint if you think you can't avoid an AOE or a specific attack. Mages are lucky and get to cheat a bit with this, so if you're coming from only playing a tank, then this will be a nice little bonus for you.