What CPU?
The most efficient way to apply thermal paste depends on what cpu it is.
Forget most of y heard.
Just do a string. Now, depending how many cpu core and how these are organized inside the chip, meaning how they located beneath the top cooler plate of the cpu:
For ex.
It doesn't matter at all which brand You have, but just follow these simple instructions from Artcic Silver (which btw is a very good one)
http://www.arcticsilver.com/methods.html
For Intel: http://www.arcticsilver.com/intel_application_method.html#
For AMD:http://www.arcticsilver.com/amd_application_method.html#
As You see if you click in the corresponding link, very few of these require other than a thin line.
However this line should and must be drawn either vertical or horizontal, depending och which CPU in question.
Now, some of these instructions give the opportunity to use a credit card or similar. Not at all. Just do the string and it should be very thin btw. once the cooler is mounted, it will even it out in between,
Best regads from Sweden