LFR healing is either Really Intense or Boring As Hell Start DPSing. There is no inbetween.
On my toons that only really do LFR, I usually spec for a combination of healer DPS (ie. I take Echo for 2xLava Burst during lulls on Keana in LFR) and tank healing (where things usually go wild if they're gonna, since you'll see people solo tanking stuff a lot in LFR either because they taunt off the other tank at inappropriate times, the other tank can't find their taunt button, or there's just one tank in the instance and everyone said "screw it, let's just yolo this.").
Healers will not coordinate cooldowns in LFR. It is every man for himself. Use them as you see fit -- generally you don't need them for mechanics like you do in N/H/M, so I usually use mine whenever things go haywire. Or just, like, idk when I'm bored?
I'm not sure if there's a separate buff that displays when a holy paladin is using Aura Mastery, but that'd be the only real "other healer cooldown" you might want to specifically keep an eye on apart from just trying not to overwrite others' healing. (hpal has a gold trait that makes AM increase healing taken when it's up.)
Keep Lifebloom up on the current tank, rejuv as needed, drop your mushroom, Wild Growth on CD, Ironbark is your friend. Regrowth with clearcasting procs/if you gotta. Macro your innervate to just innervate yourself tbh. Sunfire/moonfire all the things. TBH I don't even cast HT in LFR. Someone else will beat me to the health and I might as well just Wrath something.