Transfer data between PowerPC iMac and late 2012 iMac

My 2005 PowerPC isight iMac is ageing.

If I decide to take the plunge and order a new late 2012 iMac how do I transfer the 250GB of data from my old machine to the new one quickly and easily preferable via a wired solution - noting the lack of thunderbolt on the old machine and lack of firewire on the new one.

A firewire/thunderbolt adapter that Apple sells might not work because the old iMac is firewire 400 and not 800. They don't make this easy!

Look forward to your advice.

Many thanks and best regards.

 

Many thanks all.

I think the ethernet cable will work and is the way to go.

Thanks for the prompt replies.

Best regards.