Um hold on a second, you say
I'm developing an eCommerce store for a pretty big company.
but then you ask about the process of using SSL, shouldn't you already know how to do this if you have a contract for a big company?
I'm pretty experienced with Prestashop and there are a lot of payment modules around now for all sorts of different gateways, you would know this if you had used Prestashop.
Activating SSL for secure transactions is also very easy with Prestashop, basically selecting that option in the back-end and saving the option. You would also know this if you had used Prestashop.
I feel sorry for the "pretty big company" if you haven't managed this yet.