I would agree with a number of the posts above with respect to tweaking and tuning. Speaker placement and whether the room is really hard sounding and bright are critical issues. So are what your electronics are sited on.
So, for a freebie, experiment with speaker positioning; that is a given.
For under $150, you will get a major improvement and a big move in the direction you're looking for by:
1) replacing your electrical receptacles with Hubbell 5262's
(that is model HBL 5262) at about $10 each
2)siting your amp and CD player on either a maple cutting board from Home Depot for about $17 or vibrapods, (4 per component @$6 each), preferably both, using a vibrapod sandwich with the cutting board.
3) Buy one Quantum Electroclear for $40 and plug your CD player into it and the Quantum into the Hubbell receptacle.
If you like what that does (and you will), buy another Quantum for the integrated amp and plug the amp into it (it will probably have to go into another receptacle than the CD player is plugged into though-this, in itself would be a good thing.)
So far, it's pretty cheap. If you then want to blow big bucks, build 2 five ft. power cords for your amp and CD player by ordering 10 ft of in wall JPS AC cord (about $15 ft. from the Cable Co. or a JPS dealer) and use Marinco 8215 plug and 320 IEC to terminate it. This will cost you $100 per cord in total and you will own outstanding cords that absolutely address the problem you describe.
So, for about $350 (and you can do this in stages if you want to), you have addressed receptacles, isolation, power conditioning and power cords. You will then know what your system is really capable of without blowing your brains out on equipment. Only then would I start to make any equipment or wire changes (and I have owned both the 4TC and Hero, currently use 8TC, and replaced the Hero with something less expensive!). My system is reasonably low budget like yours, but with attention to details, you can pull some very high performance out of economical equipment.