Check the chipset and operating system on that new mac. If it's past 10.14.6 Mojave or has an M1 chipset it won't function.
Otherwise you should just need some adapters.
https://support.presonus.com/hc/en-us/articles/210047273-Is-the-Thunderbolt-to-Firewire-adapter-supported-on-Firewire-devices-