Weapon wise, the first thing you should consider is a melded version of the weapon for your relic.

See the post "A Relic Reborn Walkthrough". They should be cheap now, often even HQ ones, and are very good for your initial Tomestone farming. You will need one anyway for your relic quest.

Note that you will have to hand it in during your relic quest, but you can use it until you get the Ifrit weapon. Ifrit is easily farmed using the Duty Finder now, so there's no harm in trying it a few times.