Wayne,
It doesn't matter at all whether you have 32 bit or 64 bit on a network. This has to do with the hardware in each machine, and it's capabilities.
The data that a machine puts out for other machines to see will be the same whether that machine is 32 or 64 bits. Basically, a 64-bit machine can use larger amounts of memory, so can run more programs at once or can handle massive amounts of data at once.
There's a lot more that I don't know, but this is the basics.
In short, no worries.