A "charger" implies (for me) a constant-current source - what does the spec for the LED strip say?
Please give your topic a meaningful, descriptive title. Please attach images to your post, don't attach links to image hosting sites, they are not needed here. Both these things are explained in the forum guide in the sticky post at the top of each forum section, please read that before you post again. But at least you did post your link correctly, so it could be clicked. The current your psu will need to provide depends not on the length of the strip, but the number of leds on it. Strips can have 30, 60, even 144 leds per metre. Allow 45~55mA per led if you want to be able to set every led to full brightness white at the same time. For other colours, flashing patterns and lower brightness, less current is needed.The choice of Arduino also depends on the number of leds. A basic arduino like Nano can control 500~600 leds.The psu in your picture has a 12V output, so not suitable for ws2813 strips, which need 5V.
if I buy a premade controller (for example sp601e) I won't have to worry about ws2812b dying right?
because all I need is just a proper power supply? I thought that ws2812b might die during testing and connecting of arduino to strip due to mistake or over (voltage,current, etc.)
another again is, how do led burn ? what should i avoid doing?
is sk6812 good alternative to ws2812b?