Video card for light editing

i'm building my wife a pc that will not be used at all for gaming. she will, however, do some light video editing. i was wondering what a good budget card for this pc would be. here's the specs:

CPU: Intel Core i5-3570K 3.4GHz Quad-Core Processor
Motherboard: MSI Z77MA-G45 Micro ATX LGA1155 Motherboard
Memory: Kingston Blu Red Series 8GB (2 x 4GB) DDR3-1600 Memory
Storage: Samsung 830 Series 256GB 2.5" Solid State Disk
Case: Silverstone TJ08B-E MicroATX Mini Tower Case
Power Supply: Corsair Builder 430W 80 PLUS Certified ATX12V Power Supply
Optical Drive: Lite-On iHAS424-98 DVD/CD Writer

i have an old gtx 460 256-bit sitting in my htpc so i'm also open to move that one to this build and getting the new video card for the htpc. if we go that route, i'm looking for suggestions for a good gpu for the htpc (i3 2120 used to watch blurays and hd streaming video). any suggestions? thanks!