To increase chat engagement, have the chat bubble say the following when visitors first land on your site:

"Thank's for your interest in [company's] [product], can I give you a tour of [whatever it is you want to engage with them on]."

The general idea is to 1) thank them for giving you something (e.g. their interest in you and your product), and then to 2) offer to give them something (e.g. a tour of xyz).

If you'd like an explanation for why this structure works, or suggestions for structures, designed around your specific product, let me know,

best,

Lee