How can I determine whether circuit is Moore or Mealy machine
First of all, that's a terrible diagram that you want us to analyze &mdash; it's essentially unreadable.

The key difference between Moore and Mealy is that in a Moore state machine, the outputs depend only on the current state, while in a Mealy state machine, the outputs can also be affected directly by the inputs.

In your design, the state is embodied by the three flip-flops at the bottom, while the inputs are represented by the two switches. The outputs are the varioius LEDs at the top.

It's clear that both switches directly influence the outputs, so you have a Mealy machine.

In practice, the difference between Moore and Mealy in most situations is not very important. However, when you're trying to optimize the design in certain ways, it sometimes is. Generally speaking, a Mealy machine can have fewer state variables than the corresponding Moore machine, which will save physical resources on a chip. This can be important in low-power designs. On the other hand, a Moore machine will typically have shorter logic paths between flip-flops (total combinatorial gate delays), which will allow it to run at a higher clock speed than the corresponding Mealy machine.