I like using VCR's to distribute signals.
A modern VCR has two inputs, front &
rear.I would connect the receivers to
these inputs. Now times it by three,
using 3 different brands of vcrs.
Better sat receivers have two outputs,
but we need three. So buy cheaper
receivers with one output, and use
RS distribution amps and make one output
into 3 or 4. Now send the RF out of each
vcr to three rooms.In those rooms your
one button away from two receivers.Now
split to, two other rooms if needed.