Resist the temptation of a £5 sub, it will likely sound like pants and disappoint you in the long run.
An active sub like the VTF-1 (I own a VTF-2, and love it) will take the stereo speaker outs from your AVR (receiver), play the low sounds based on the crossover setting, and the power your main speakers. If you like the way this sounds, you can start thinking about a newer AVR with dedicated sub LFE OUT and bass crossover in the AVR itself.
But for now it looks like you should be shopping for an active (powered) sub.
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A: Yamaha RX-V775. Bose 401 mains, 301 Series III surrounds, Yamaha NS-C444 center, Hsu VTF-2 Mk4.
V: Samsung UN40ES6150, Panasonic DMP-BDT215, Yamaha DVD-S550.