The Bermuda High is an area of high pressure that forms over the Atlantic Ocean during the hurricane season.

Storms move westward on the southern edge of the high-pressure area until finding the western side of the high. The winds around the high turn the storm and carry it to the northeast. The turn usually occurs before most storms hit land. Last year, the high was farther south and west than normal, forcing storms to travel west longer and hit land before turning northeast.

As Kevin said, the BH is not really a factor in the amount of activity, as hurricanes don't generally form in the area affected by the BH. It is generally the long trackers (CV storms) which ride the trades westward until the reach the western fringes of the High (which spins clockwise) which turns these storms north...unfortunately, Frances and Jeanne and the BH's position further west and south, drove them into florida rather than recurving them.

Other storms, which took the more southerly route, were not affected by the BH at all (Charley & Ivan)...so we can still see a devastating cane or three regardless of the position and strength of the BH.

At this point in the season, I wouldn't "worry" about the BH, but it is something that will need to be watched closely as the season progresses.