First and foremost, finish Missions, you might hate it, but work solely on progressing on Rhapsodies of Vana'diel. Do as much as you can. Try do some Delve/Skirmish for basic 119 gear, then try group up for Ambuscade and figure out what level/difficulty you are comfortable with and try get the NQ (Normal Quality) gear from there.
With the addition of Ambuscade weapons even the 1st stage weapon is a decent starter you might like. Ambuscade armour/weapons are free in terms of gil and only cost the currency obtained from Ambuscade called Hallmarks and Gallantry. Gallantry is only received when you party up with other people, trusts do not count.
I don't play much myself anymore, but if i'm online and actually there hit me up and i'll help you get started.