Hilary Duff -- I've Got Cameras On All My Tinder Dates

Hilary Duff is the next 'Bachelorette' ... of Tinder -- she's shooting footage of all her dates setup through the app ... and there's a chance it could turn into a reality show.

Hilary recently copped to right swiping a bunch of guys on Tinder -- 9 at last count -- and even went on a first date this week with one of them. Sources with direct knowledge tell TMZ ... cameras were rolling during the date at a bowling alley.

We're told Hilary plans to shoot more footage as she dives into the dating world ... and hopes to use it to develop a reality show -- that would focus on her life as a new divorcée. Think 'Stella' getting her groove back ... but whiter.

Hilary's rep had no comment about a potential reality show.