'94 Levin (Corolla?) Tire size question

I'm in need of winter/snow tires. The current all-seasons are 195/65/14. I can't seem to find any that size online. I'm trying to order them since it's much cheaper that way.

I'm wondering will 195/60/14 fit? Does the sidewall height change matter much? I don't know anything about tires, except that all-seasons don't do well in snow...

I haven't asked a tire place because I'm stationed in Japan.