The Winegard DA-1036 is an old, long discontinued 37 dB gain distribution amp. Using it behind an already amplified antenna system is probably ill-advised, especially when the current system and the reception environment are all completely not disclosed.
35' of coax and a 2-port splitter should amount to about 6 dB of insertion loss. If that is causing your loss of performance in the bedroom, there are other issues involved.
