It's cumbersome to go through 2-Step Verification every time I log in.

Select "Do Not Use 2-Step Verification on this Browser" when logging in to Kakao Account, if you wish to simply log in from a trusted device. 

Afterward, you can log in with the relevant account on the corresponding browser without additional confirmation. 

However, we'd recommend you to go through 2-Step Verification from a shared device for secured services.