It'll take a few weeks for a shop to assemble your motor, and yes it's pretty much how you put it. The only downside I see to not doing it all at once is that you almost have to drop the motor just to get the trans out/in anyways and the flywheel/clutch bolted in. So its one of those..."might as well" kinda things and for ease of installation.
I think AsianInvasion on here is selling or will be selling his F23 motor soon. Keep a look out for people that have done H22 swaps in their accords or have blown their motors w/ boost.