Any card can handle 2 monitors these days. For gaming on the 1920x1080 monitor it really depends on what you want to spend. An HD5770($150) will be pretty good for that resolution while and HD5850 or GTX 470($300-320) would great. If you aren't gaming then something much cheaper like an HD4650 would be fine.
P.S. If you are in the US this deal for a power supply and/or the combo with the Antec 300 case is very good;http://www.newegg.com/Special/ShellShocker.aspx?cm_sp=ShellShocker-_-17-103-941-_-07082010
It is one day only so you would have to order it tonight.