350w, what kind? brand? not just any 350w psu will do.
i'd suggest a typical 500w 80+ Bronze psu.
a sidenote: if you're gonna get a 4670k, why not get a z87 motherboard with it? even if you don't o.c. now, you might change your mind later (regardless of how overclockable a 4670k is).
edit: you should also make sure it's 4 gen core processor (a.k.a. haswell-ready), just in case.