Using a gateway to merge DMX sources

I have three different sources of DMX, all not ETC.  I want to merge the three sources of DMX.  From what I've read here on the forums, I should be able to do that with an I/O gateway.  However, there is no network currently in place.  If I use a 4-port gateway, can I use three ports as inputs and the fourth as an output?  Two of the three inputs would have the same priority, and the third would have a higher priority.  Will the gateway work alone, or does it need a network?  If it does need a network, can I use one gateway for input, one for output, and just a consumer network switch?  Would it be better if the network switch has POE?  Or, am I missing something, and I really need hardware specifically designed to merge DMX?

Thanks for any help you can give me.