Conquest will be converted to Honor. Any Honor over 4k will be converted to coin. Valor and Justice will not be affected.
As for the OP there are some relatively easy pieces of gear to get:
476 boots from killing Sha
502 boots for completing the new scenario quest chain and doing part of the Barrens stuff
489 randomly itemized gear (once per week from the Barrens by getting a Radical Mojo and using it to empower Latent Korkron Armor)
Other than that your best bet is to get into T14 pugs on openraid or similar sites.
I don't recall reading this; just that all 5.0 Valor gear (possibly 5.1 and Kirin Tor/Sunreaver 5.2) will only require Justice Points to be purchased.
Edit 2: Didn't see your comment towards bottom of page, thanks.