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I'm sorta in the same place right now. Except I'm upgrading a 7-8 year old rig
Initially, I planned to go EVGA 670 FTW+ 4GB, then the 700s series came out and that got me excited but I just don't think the price is justified. For me, it depends on the price point for the 770... but even then dropping 550+ for amazing performance with 3GB seems like you shooting yourself in the foot if you want to go tri-monitor and futureproof.
If I were you, I would get the EVGA 670 FTW+ 4GB or go the 7970 route as suggested. Then either pick up another for cheap when you need the performance or go for the 800s series in early 2015.
I'm still undecided but I'm leaning towards doing exactly that