What is best to build a barbeque grill with, brick or cinder block?

We want to build a barbeque grill but are unsure which best to build it of. Brick, cinder block. cinder block faced with brick, block faced with stone? Also should we leave it as a charcoal grill or install gas for convenience, or both? What are other people's experience? We keep going round and round on this and need other opinions!!

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