Make sure to keep the horse going around at a forward and consistent clip. A common mistake in modern hunters is going at an extremely slow pace. A good clip will help you travel down the lines and get to the base of the second fence. Also don't fall on the horses back over the fence. Top hunter rider often do this to accentuate the horses jump, but it is just bad equitation and can actually reduce the quality of the horses jump.
To Dominique Nesland: that first part only matters in the equitation. You can't look sloppy, but you don't have look as refined, your horse is the one showing off in the hunters, not the rider
Make sure your heels are down, your back is straight and your horse has good movement like it shouldn’t be racing around.
What kind of tips? My biggest one would be let the horse be its best and don't interfere as much as possible. Focus on the horse, and how you can aid it calmly to each fence.