With bottle carbonating, there's going to be at least a little bit of sediment in the bottom of each bottle as the yeast fall after eating the priming sugar. Refrigerating the bottles 3+ days prior to serving will help to firm up that yeast trub so that it's less apt to get into your glass when you pour.
There are good practices you can follow to greatly reduce the amount to sediment and produce more clear beer:
1) Bag your hops
2) Add Whirlfloc (or Irish Moss if you like) to the boil at 10 min.
3) After chilling, cover the brew kettle and let things settle 15-20 min before transferring to the fermenter. Try to leave as much gunk behind in the kettle as you can.
4) After fermentation is complete, if you have the means to do so, cold crash to 35-36*F at least 4 days.
5) When moving the fermenter to prepare for priming/bottling, be gentle and try to not slosh it around. If you crashed, rack to the bottling bucket or keg while the beer is still cold. Try to not suck much of the bucket trub into your siphon. If priming cold beer for bottling, give it a gentle stir with a sanitized spoon to evenly distribute the sugar solution.