I had a similar experience with my friends. They were overly concerned with sediment in the bottles. There are three ways to overcome this without kegging or using a beer gun to fill your bottles with pre-carbonated beer.
1) educate your friends on how bottle conditioning works. Explain how carbonating in bottles can leave sediment however it is normal. None of my friends take issue with a little sediment in the bottles now
2) if you have the ability chill your beer in the carboy by placing it in a large cooler or ice or a refrigerator if possible prior to racking into bottles When you chill the beer the heaviest sediment settles to the bottom of the carboy and the clear beer can be racked off the top. You will love a little beer in the process by leaving some in the bottom of the carboy but it will significantly decrease the sediment in your finished bottles.
3) do not serve straight from the bottles. Home brew, or any great beer for that matter should be enjoyed from a glass. This will enable you to full experience what you have worked so hard for. From the hoppy aroma to the color all aspects of your brew will be apparent. Additionally when you pour the beer into the glass leave about a 1/4 inch of liquid behind. By the time your bottles have fully carbonated all the sediment will be at the bottom leaving a bit of beer in the bottle will eliminate sediment in the glassware. Good luck on future brews.