With your current gear Giantsgall are going to be better. The DPS values are really close so it's a tough comparison as Mogfists aren't generally great anyway.
As far as gear, I would look long term to where you'll have better weapons, higher caps, etc. Though, with things changing you may want to wait for 2.0 unless you need to output more DPS right now for 17m runs, Garuda, Extreme, etc. If you aren't doing those, I would recommend waiting for 2.0.
That said, you should look at getting a triple meld on Felt Bracers in the 45+ range, and a better double/triple for pants in the 20+ range. Be smart about how you do the pants, as that materia is expensive. eg, if you go for cheap materia and do TierIII 4+5+6 or 6+6+6 you will end up with 19-22STR and a lot of asspain as it's a triple meld. A TierIV 7+8 is 19 and usually easier to get. Alternatively, if you're going to do triples, 6+7+7-8 isn't bad either. That gets you 24-25STR. For Felt Bracers, I would recommend doing TIII13-15-18 or some combination like that. I did 15/15/16 and it was a heartbreaking the entire time.
Then you can look at Raptorskin Pot Helm or Electrum Monocle with 50ish INT (triple meld), but that kinda fun I haven't got into yet.