We know this is not what you are going to want to hear, but again, the lighting style is personal preference. However, we do have some things to acknowledge or think about when choosing what style pendant to purchase and our favorite ones are included in a roundup below.
The first thing you should think about when deciding on the style of kitchen island pendant lights is what type of light do you want them to provide? Do you have other sources of light in your kitchen (ex. recessed lights, under cabinet lights, sconces, etc.)? If you do not have recessed lights, then you will most likely want some sort of pendant, like a lantern style, that will provide as much light as possible. If you have recessed lights or other accent lighting installed in different parts of your kitchen, then you can probably get away with installing pendants that are more decorative and provide direct light, such as a dome pendant.