No need for multiple remotes. A single MCE remote will control the PC.
If you have two PCIe slots open, you could go for the AverMedia A188 Duet
for $69 each. This is an ATSC/QAM dual tuner with a single coax input. Install two of these- one for your OTA antenna and one for clear-QAM cable. That will give you four tuners to record from (2 antenna, 2 cable).
Or, you could go for two single tuner cards like the Hauppage HVR-1250
for $49 each. That will give you two ATSC/QAM tuners- one for cable and one for OTA antenna.