If you just want a basic rush opener for Z+T, you can go 6-Pool and Mega-Rax. Mega-Rax is the same sort of thing as 6-pool, just build lots of barracks and marines. Skip gas collection, but do get an Orbital Command for MULEs. Build 3 early barracks and more as you can afford them. One advantage of the Z+T composition is that Zerglings can form a front, tanking damage, while the marines can stand behind them and dish out damage. You can Google "Mega Rax" for more ideas or an exact build order.
However, I'd encourage you to broaden your horizons. These "builds" are all-in rushes. If they do not work, for example if your opponents have defended walls, you are left with a slow economy (especially for the Zerg), no tech advantages, and only the capability to build the most basic units. Opponents going for Roaches, Marauders, Tanks, Stalkers etc will steamroll you if your initial wave doesn't win the game.
So, of course feel free to play with rushes if you enjoy them, but you may also consider looking at other nice strategies and synergies, such as Medivacs healing Zerg units, or maybe Muta harassment + tank pushing, etc.