Hence me saying "to varying degrees". It'll be a percentage of the total.
The mass doesn't change - the mass is the mass irrespective of whether it's moving or not
It remains constant throughout the kick, it's the same as it was before the kick was started and the same as it is after it's finished.
That's the thing about mass...
Take a rock with a mass of 1kg. It's 1kg. Throw it in the air, it's still 1kg. Bury it, it's still 1kg. Put it on a table, it's 1kg. The only way to change it's mass is to chip some off or stick more on.
Likewise with the mass of the body parts to perform a kick - the only way to change the mass is to chop some off, or add something (like a shoe). But, unless you lose a toe or put in a shoe during the kick, the mass doesn't change.
Weight and force on the other hand, they can change. You can change the weight of a 1kg rock by increasing or decreasing it's altitude. You can change the exerted force by dropping it on the table instead of placing it.
That's how a kick works - it doesn't change the mass but it uses the velocity of moving the mass to magnify the force.