Is there a better Zwift setup I can use?

I have a road bike and a magnetic resistance turbo trainer. I use a Wahoo Blue SC to measure speed and cadence, and just put some music on whilst I ride.

I’d like to start using Zwift, but I don’t know where to start. I have a laptop that has Bluetooth support, and a smartphone.

Would it be OK to connect the Wahoo SC to the laptop, and then use the smartphone for the Zwift app? Would I need to install an application onto the laptop to use Zwift?

Apologies in advance if this is off-topic.