I did all my roulette that levelled me up each day and it took little time to get most my classes to level 60, as long as you don't try to push it too much, it won't feel like much of a chore. Only jobs not at 60 are my melee's and I don't really play those much. If you are committed to grinding dungeons, definitely consider the FC EXP buff and eat some food, it may not feel like much, but it adds up quite nicely. If you have a queue, put in some FATES or some Leves.

I wouldn't worry much about gear, grab stuff from your GC and any stuff you get in dungeons, that will keep you adequately up to date at all times.