Another feeder question!

Well I've had a look through quite a few threads about feeders but still think I need to ask something. I am considering buying a feeder to put pellets in but am concerned about bullying tactics. There are a couple of particularly dominant hens in my flock of seven. I am worried that if the food is in only one place they will stay near it and frighten the others away. At the moment I scatter pellets all around the run. I built a shelter for rain and snow in winter time, so can scatter the food under there, but I thought a feeder might be less hassle and keep the pellets drier.

What is the likelihood that food in just one place will mean the bullies take the lion's share, and is a dedicated feeder really necessary?

Edit: Just realised I am being rather thick. There is no reason why I couldn't buy a couple of feeders to prevent any problems. Would still be interested in your replies. Thanks!

If the area where they are fedd is uncovered then get a wide lid to keep the food dry. I also hang my feeder and water from rafters, to keepit out of mice reach.