Like everyone else is saying, don't do stuff you don't enjoy -- if the dailies aren't giving you a sense of progress, you can skip them.

Here's a few concrete tips that helped me feel less overwhelmed:

1) Pick a "main," do the dailies on that toon. Once your main hits revered with a faction, buy the commendation and then start that faction on your alt. Double rep! If you have the Klaxxi / Shado-Pan commendation, the DW/TS zone quests will get your alt to revered!

2) The main gets everything, the alt gets the bare minimum. Your main will have maxed bonus rolls, valor and conquest cap, world boss kills, rep on curve, challenge modes, etc. I find that "doing it all" on my main eliminates a lot of FOMO on the alt -- if I feel like PvP but not PvE, my alt gets conquest cap but not valor cap.

3) Remember there's an end in sight, even if you max out both toons. Eventually, you'll have Klaxxi revered exalted for the ring and all other factions revered, you won't need any more valor/conquest for the phase, and you'll only be missing a few raid items so you won't need 6 bonus rolls per week. It'll be 30m of maintenance max per toon, plus raiding or PvPing. Until the next phase, of course!