Syncing M:C + DT (logistics)

Hello,

I recently purchased a DT and I was wondering what do I need to connect it to my Model:Cycles to play in sync. Besides a MIDI cable, since I don’t own much more than that, what kind of cables do I need to connect them together? I am a bit confused about all the names for these patch cables (unbalanced, balanced, TRS, TS, etc.) and I would love to hear from a more experienced musician before I buy anything. Links and examples are more than welcome!

Once I connect them together, can I just get audio out from my headphones plugged on the Digitakt? That’s another question I have.

I appreciate your help, I am a newbie as you can tell so even what you consider basic knowledge may escape me!