Is there any data about battery safety, like NiMH vs LiFePO4 vs lead acid [add your favorite chemistry here]? I understand LiFePO4 batteries to be exceedingly

Is there any data about battery safety, like NiMH vs LiFePO4 vs lead acid [add your favorite chemistry here]? I understand LiFePO4 batteries to be exceedingly safe. They don't overheat or catch fire even if punctured. Lead acid batteries, well, contain lead, which, as a father, is not something I want in our house. It can also produce hydrogen and oxygen, potentially causing an explosion.