all-around booking system

Hello lovely community,

Im going to build a website on not-yet-chosen-theme where Im going to implement some sort of booking system. Though, Im running into some obstacles. Thing is that I want all different bookings to be connected.

Let’s say my hostel will be presented in following platforms:
hostelworld, my wordpress site, booking.com and maybe airbnb

How could I connect all those things in a way that I won’t get double bookings for same day? Thing is that we only offer one room in our so called eco-village. So double bookings should be avoided. I did check up thing called checkfront, but somehow their wordpress plugin in quite outdated designwise and therefore, its not an option.

Any ideas how to solve the issue?

Thanks