Hi Diggs:
Have you got a BV4 connected to the BSy1?? If the BV4 is HD Ready, you can connect the BD Player directly to the screen with an HDMI-DVI wire and the sound using the digital sound connection in the BSy1, like the picture below.
If the BV4 is not HD Ready (hasn't got a DVI connection), you can order a special kit that includes a DVI connection for the screen. You can order it for BV4-37" (any), BV4-42" (from 18390228), BV4-50" (from 18363212) and for BV4-65" (any).
Eventualy, you will be able to think about an upgrade: BSy3