Odoo is probably overkill, but if you need the POS parts then I am not aware of another option with that easily included.

Odoo itself is a bit of a pain to update across major versions and the (very nice) OCA plugins need to be managend manually. So both factors together make hosting it a bit annoying.

I don’t see a huge difference in hosting from home or a VPS, but of course a managed solution is going to be more hassle free.

I think the most important point will be to talk to your business partner about it, and probably to have a backup plan for paper based ordering in place. The latter is good practice anyway, as recent power outages in Spain and Portugal have shown.