You've also got to account for hydrogen embrittlement, where the small size of the hydrogen molecule means that under pressure it works its way into the crystal lattice of the metal of the container itself, and changes its mechanical properties.
But they are a product of high pressure. Keep pressure low and ensure positive airflow in any closed space, and there is little to worry about.
And it's not just a pressure problem, either: embrittlement will happen at room temperature and pressure, just through diffusion.
For decades, lamp gas -- carbon monoxide and hydrogen - was piped to homes, factories, offices, and ... street lamps, in cast -iron pipes. Then they switched to methane, same cast-iron pipes. They started out pretty brittle, really. Still in use, though.
Where a large amount must be handled, underground caverns at low pressure and LH2 tanks at ambient pressure will be favored.
The most promising solutions I've seen are taking advantage of the fact that single H+ “dissolves” into metal under pressure. You store that saturated metal and heat it when you want to release it. That way energy density starts to make sense. This video shows one such approach:
https://www.youtube.com/watch?v=M0fnEsz4Ks0
Binding it with carbon seems promising as well, but I wouldn't bet on simply trying to jam it as a gas in a tank.
But I'm not an expert, just very interested on the subject for many decades.