First Off, Nylon Vs. Feather Shuttles
Nylon shuttles are made of a synthetic material (nylon) and often being used by recreational players and people who are just starting the game. They are cheaper compared to feather shuttles and are a lot more durable, making them great for practising skills and casual play. Feather shuttles are made of natural duck or goose feathers. Goose feathers have thicker bristles than duck feathers and will have better flight quality and durability.
Feather shuttles are often used by players who play competitively due to the more natural flight characteristics of a feather shuttle compared to a nylon shuttle. However, many people choose to play with nylon shuttles due to the high cost of feather shuttles and their low durability. So, it can depend on how seriously you decide to take the game, so one might be better for you than another. The structure of feather shuttles are more rigid compared to the soft skirt of the nylon shuttles. Due to this difference in rigidity, nylon shuttles will deform more than feather shuttles when hit. As a result, feather shuttles will have a higher initial speed coming off the bed. Aside from greater initial shuttle speed, the feather shuttle will also decelerate faster due to the higher drag it experiences during its flight and, therefore, will travel less distance and fall at a steeper angle.