Since you are essentially purchasing speakers within a chair, you will need a way to connect your speakers to your music player, video game or entertainment console. The most popular connectivity options are wired and Bluetooth. Each has its own pros and cons.
The wired connectivity has the advantage of being the cheaper option. However, the dangling wires can cause a lot of inconvenience or personal maneuvering.
Bluetooth is a great option if you don't want to deal with the hassles that come with the wires. You merely need to sync the chair to your source, and you're good to go. On the downside, it's the more expensive option. Also, since the speaker will need a power source of its own so it will be able to feature Bluetooth connectivity, this means you may need batteries. This can be a source of issue, especially if the batteries run out and you don't have a spare lying around.
You could choose something that comes with an adapter connected to a power source (e.g., electric outlet). However, this also means you will also be dealing with wires to some degree.