Either or.
Going with i386 will probably make it easier to get compatability with various 3rd party binary-only 32bit apps. You can still run them, but you'll have to install other various 32bit dependancies to get them to work correctly.
Going with 64bit will allow a slight increase in performance and will allow you to address over 4gigs of RAM to any 64bit application.
Some closed source games, like Ut2004, have had Linux 64bit versions for a long time now, but most will not have 64bit versions until after 64bit windows gets popular (probably another year or two for that)
It's up to you, i386 may be easier for a while now, but 64bit will get some other benifits.