Discord or Teamspeak?

Discord allows you to add games in the quick launch so whenever you need to launch a game but do not have the shortcut for it, you can always launch it from Discord. You can buy certain games on Discord that come at a very discounted price and it allows other Discord users and friends to know which game you own and play on a daily basis.

Servers on Discord are free to host, unlike Teamspeak where you have to pay monthly/yearly/onetime. (yes their is an free one to, but hard to get!!) The servers on Discord are also easily managed as most things are basic and easy to manipulate like making channels or sending invites.

Discord has its own overlay for gaming that allows users to monitor the activity in their current channel of other users leaving and joining. Users can also enable or disable certain notifications like messages, tags and etc.

Discord also allows you to show other people what game you are playing currently. If you are playing a known game like Fortnite that is integrated for Discord, then it will also show how many people you are playing with, how many people are left in the current match and even the time of how long it has been since the match began.

On Discord, if you have friends added with you, you can see their mutual servers to know if they are on the same server as you.

Conclusion
The winner is Discord by a mile as it has many features that Teamspeak lacks. The only thing stopping Discord from being flawless is the disk and memory usage it consumes. Other than that Discord allows for a free server to be hosted that cannot be done on Teamspeak. Discord has a user-friendly overlay that does not allow input lag. Most importantly Discord is much more easy to use than Teamspeak due to its guided user interface.