Wired, Wireless, or Wire-Free?
Earphones can connect to your smart phone through a 3.5mm cable or wirelessly over Bluetooth, depending on the model. Wired earphones are generally less expensive, and you don't need to worry about keeping them charged. Bluetooth earphones are more convenient because you don't have to physically connect them to your smart phone, but they need battery power to work. For the most part, you won't find a 3.5mm port and removable cable on Bluetooth earphones; when they're out of power , they're out of commission until you charge them again.
There's also true wireless earphones, which we also call wire-free. These are essentially Bluetooth earphones, but with no cable connecting the individual earpieces. It took a solid year for the bugs to get shaken out of this category, with issues like short battery life and awkward design plaguing early devices.
We're starting to see some very compelling wire-free earphones now, with companies like Bose and JLab offering sets with the power, longevity, and intuitive controls necessary for us to recommend them. Typically wire-free earphones are more expensive than conventional wireless earphones, but if that wire running between the earpieces is a constant nuisance for you, it could be a worthy purchase.