You can store it at room temperature for a few days, even a few weeks as long as the temp stays cool, if it gets very warm the time you can hold it shortens. Some producers even store it until the end of the season, then process it all at once. My only comment for bottling temperature is that after filtering it should not be heated over 190, 185-190 is good. Over that you will often get new sugarsand (niter).
I have done it few ways in the past, but as I got a bigger operation I settled to one way. I now draw off at syrup density, send it to my finisher just to accumulate enough to either fill a barrel or fill the bottler. Then I bring it to about 205-215, verify density, filter it, grade it and send it to either a barrel or the canner. I used to go slightly over density and then thin it to proper density with sap, almost syrup off the evaporator or with distilled water. I try not to do that now because it takes more time and energy.
Dave Klish, I recently ordered a 2x6 wood fired evaporator from A&A Sheet Metal which I will be converting to oil fired
Now have solar, 2x6 finish pan, 5 bank 7x7 filter press, large water jacketed bottler, and tankless water heater.
Recently bought another Gingerich RO, this one was a 125, but a second membrane was added thus is a 250, like I had.
After running a 2x3, a 2x6, 3x8 tapping from 79 taps up to 1320 all woodfired, now I'm going to a 2x6 oil fired and a 200-425 taps.