New
#11
The monitor is one thing connected that doesn't draw from the power supply as it has its own power, same for anything else that has an external power source (printers, modem/router, etc). Mouse, keyboard, hard drive(s), optical drives, memory, etc; those all are powered from the power supply.
Just fed your system specs here,
eXtreme Outer Vision - eXtreme tools for computer enthusiasts
which when paired with the 6670 comes in at around 203W system total, with a recommended of 253W. Basically comes down to a good quality 300-350 watt PSU would do, but with yours adding the card would really be pushing it. If you can fit it into the budget and aren't afraid of upgrading the PSU something like this,
Newegg.com - SeaSonic SS-300TFX Bronze 300W TFX12V v2.3 80 PLUS BRONZE Certified Active PFC Power Supply - Power Supplies
would be very good to go with the 6670.