You want to use a coax cable not an audio cable(red/white), and you don't have to pay out the nose for Monster products.

The subwoofer has a built amp in it, so all the receiver is doing is sending the signal to the sub. There would be no difference between the receivers as long as you have the speaker small/large settings and the crossover settings correct.

As long as you stay with a reputible name like HK, Onkyo, Denon, Yamaha, Pioneer Elite, etc... just find one that has the options you want and is in your price range. They will all perform well.

M80s VP180 4xM22ow 4xM3ic EP600 2xEP350
AnthemAVM60 Outlaw7700 EmoA500 Epson5040UB FluanceRT85