How to make Simple Syrups
Simple syrups are basically water and sugar. They provide the sweetness to drinks.
For simple syrup, I do a 2:1 ratio of water to sugar. Add the sugar and water to a small pot and heat it up on low until the sugar is dissolved. That's it. It takes five minutes.
It's much better than using straight sugar in a drink, because it's not gritty.
Most cocktails are going to be between .5 oz and 1 oz per drink of simple syrup... and simple syrup lasts about two weeks. So, I typically fill one of the large 16 oz Cockbox bottles with simple, and store it in the fridge.
Honey Simple Syrup (also called Honey Cordial in some recipes) is where you substitute honey for the sugar. I always have this also in my fridge.
From there, you can riff. There are many, many different infusions you can do with simple syrup.
For example, one of my favorite drinks is the True Grit. It calls for chili honey simple syrup. In essence, you'd add chili flakes to honey simple syrup and let it infuse for a few days.
Tip: Don't buy simple syrup at the store. That's gross.