First, you will have to consider size. A bigger stove means you'll need a bigger hood and vice versa. A good research tip is that a lot of manufacturers actually have recommendations when it comes to the amount of ventilation needed. Try looking that up because that's a great way to start your research for the right hood. Also another thing to consider is the placement of the hood. For instance a hood that's going to be on an island requires a different amount of ventilation compared to a hood that's going to be placed on a wall. And lastly, you should take in account the size of the overall kitchen too when determining the right hood.
Other things to consider are building codes and if the codes require a makeup air system and/or if your specific home requires one but this all depends on the amount of air that the hood pulls. This system has to do with replacing the air that is exhausted through the hood. And the trend that typically comes with air speed on hoods is; the faster the speed, the more expensive it is and vice versa. So overall it really does depend on what you're looking for and your budget. There are hoods that can be found around $100 and even less and then there are options on the far extreme beginning at $400 and up.
Speaking of noise, there's actually different things you can do to minimize noise levels of hoods. Some options could be using a powerful fan but on a low setting, getting a larger hood but placing a less powerful fan in it, or having a powerful fan that has speed control so you can control the airflow. Many people have also said that the location or placement of the fan makes a difference when it comes to noise. Also ductwork has a huge influence on the noise factor. The more constricted it is, the more noise it'll create so it's important to ensure that the ductwork is of the right size.
As stated before, decorative hoods are very popular options at the moment but there's still other options that are equally popular. For instance, stainless steel is still extremely popular for hoods since it's easy to clean. And those who are looking for island hoods, a popular demand is making them more functional by having hooks or railings to hang cooking utensils.
So overall when it comes down to hoods, it all depends on what you're looking for and more importantly what you can pay. Hope this helped!
Til Next Time,