Plug Amp directly to Mains or use a Power Conditioner?

There have been discussions about whether to plug an amp directly to the mains or via a power conditioner. I live in a house that's 60 plus years old, with two phase (non-grounded) wiring in most of the house. The neighborhood I live in is also quite old with an ancient power grid. I have been plugging my amp directly to the mains, but think, due to the bad power distribution, I should plug it into the new power conditioner I have on order. I also bought some mildly upgraded power cords for both the amp and conditioner. 

I respect that some may suggest re-wiring the house or using a whole house conditioner. Probably great ideas, but I am more of a serious hobbyist than a true audiophile. Meaning that I am not going to invest thousands for electrical current remediation. 

I have my large-ish TV's plugged into decent Panamax or Furman line conditioners and saw noticeable improvements. I am thinking that my audio output may also benefit.

Suggestions anyone?