The corners are the toughest to clear, so focus your efforts on them first if you can. Bottom corners first too. Don't get drawn in to blowing all your moves trying to clear corners though. Take any opportunity that you can to pick the corners off though. Striped candies and combos are best for the corners.
Take your time
Look at all uncleared corners before every move, to make sure that you don't have an opportunity to pick off a corner jelly. Plan your next move too, you might have a nice set up to take to the corner.
As usual, you should work on the bottom of the screen to force as many cascading matches as you can. You'll need the extra moves that this generates to take care of the corners
Did we mention the corners.......?