I agree with the plan of action, especially since you will be on the sidelines for awhile due to a future home loan. As said above I think it's an ambitious plan, but I think with your scores it's probably doable. Are those FICO scores?
I don't have much experience with BOA or BOH, but I think you'll be fine with Amex, probably a phone call or two with Chase, and with Citi it's probably 50/50. Hopefully it's instant with them because their recon is hardly similar to Chase. Barclays you will probably get with no issue, but as I said above be on the look out for AA.
Good luck!