Unfortunately that's a downside of the BV 8-32. I use an HDMI switcher and have to use 2 remotes. However, if one of your sources has component video output you could use that and program the PUC to use only one remote, but you probably already thought of that.
Leo
BV 10-40, BV 8-32, BL 9, BL 4, CX100, BS Ouverture, BS 2000, BG 4500, Passive, LC 1, A 9