Anyone who has used a secure shopping cart since 1995 has used a secure connection. I built my first shopping cart in 1996 and at that time we would only secure the actual order so that the “sensitive” payment information was encrypted.
The big move in the last 2 years especially is to transition the entire web to the https protocol so that all websites are fully secure.
Google started saying last year that they will eventually give secure sites prominence in search results. This includes labeling sites that have not made the move as “non secured” in the search results which would very likely give a potential site visitor pause.
For that reason alone now is definitely the time to secure your site. There are other benefits but the main driver to do this now is the possibility that you will become invisible in search engines if you don’t.
If you are looking for someone to manage the hosting for you, click here for a little about my offering in that area.