I have a Directv HD DVR in my exercise room. The signal is split using a Monoprice powered two output HDMI Switcher/Splitter. The other HDMI cable was pulled to a bedroom location. I would like to split the signal again and pull another HDMI cable to a kitchen location. I understand that I can purchase a four output switcher/splitter from Monoprice that will accomplish this but it costs more than $200. Can I split one of the two outputs again or will the HD signal be too degraded. The cable run to the new kitchen location is about 40'.