Question about Particle system Prefab

Hello All,
I'm currently working on an Asteroid Game for mobile.
And I'm looking to add Particle system effect to the Asteroids I destroy.

My question is that if the best performance solution for this is to attach the particle system as a child object of the Asteroids and whenever I destroy them, I should "Play" the particle system.

I should mention that the Asteroids I'm destroying are part of an Object Pooling I made. So if they are destroyed, they will go back to the pool along with the particle system. Or at least, that's why I'm thinking.

Any answer, will be appreciated.
Thank you guys. Let me know If I explain myself correctly. English is not my 1st language.