Do I want a "Private Applications (HTTP Basic Auth)" or "Public Applications (OAuth 2.0)"

Hi there.

I am a website and software developer. (not Wordpress :-)

We have a couple of customers using Service M8 and want to integrate website enquiry forms direct to become Service m8 "jobs".

We have look at the booking embed, but we want to keep some signficant extra analytics data gathered from our website processes.

Thus, we are eager to Authenticate with Service m8 and program our own integration.

First things first.... with 2-3 of our clients on Service m8, do we want to Private or Public applications access ???

PS: We have application integration / website integration experience.

:-)