[I'm going to START with a .223 Remington barrel and have it reamed out to 225.]
If by "reamed out", you mean rebored, it's unnecessary & contra-indicated - because a.223 Remmy bbl and a .225 Win barrel both use the same .224" bore.
As Swampy referred to, only a rechambering of the .223 chamber with a .225 Win chambering reamer is needed.
Wow, you have TWENTY-THREE H&R actions/barrels? That's pretty cool Any really interesting chamberings?I have 3 of the 357 Handi's that I reamed out to 357 Max. All 3 shot quit good as the 357 mag and still shoot the mags good and do very good with the Max's loaded with 180 gr XTP's. So far that's all I've loaded in them since reaming. One of my boys and I both took turkeys with neck shots before I reamed them. I have 23 of the Handi's and all shoot just as good as any of the other brands, some good and others better. DP