Simplest way to understand the tala system in Carnatic music - this will be useful whatever system you are trying to learn, even Western or Arabian, or Jazz music.
Just start tapping your palms - to the count 1 2 3 4 - 1 2 3 4 - 1 2 3 4 - with just the '1' being a loud tap, and the rest as lighter taps.
The tala is a 'counting cycle' - here it is a cycle of 4 counts. It can be three, for example, 123, 123, 123, etc. or any other commonly used tala count like 5, 6, 7 or 8.