Looking for a card that can run ESO or any more detailed game at high resolution. Have another set of 8gb of memory to install too. I am not trying to break the bank either

Here are my pc specs:
Operating System
Windows 7 Home Premium 64-bit SP1
CPU
Intel Core i3 4330 @ 3.50GHz 39 °C
Haswell 22nm Technology
RAM
8.00GB Dual-Channel DDR3 @ 665MHz (9-9-9-24)
Motherboard
Gigabyte Technology Co., Ltd. Z87M-D3H (SOCKET 0) 28 °C
Graphics
HP vs17 (1280x1024@60Hz)
HP 2311 (1920x1080@60Hz)
Intel HD Graphics 4600 (Gigabyte)
2048MB ATI AMD Radeon HD 6570 (Diamond) 53 °C
Storage
931GB ATA ST1000DM003-9YN1 SCSI Disk Device (SATA) 34 °C
931GB ATA ST31000528AS SCSI Disk Device (SATA) 30 °C
Optical Drives
hp DVD A DH16ABSH SCSI CdRom Device
DTSOFT Virtual CdRom Device
Audio
Realtek High Definition Audio

whats your budget, or are you looking for something ideal for the game?

Gaming is what I am wanting it for. A good graphics card that can be used for a long term investment would be idea. I bought the Diamond one in my computer already and the tech guy said you can use it for about any game. Not the case. Under $400.

problem here is prebuilt.

psu may require a change.

It is not prebuilt, I bought the Motherboard and CPU after the board went out. The mobo, CPU, Power supply are bought from Newegg.

which psu

LOGISYS Computer PS550E12 550W ATX12V Power Supply
Fans: 1 x 120mm Ball bearing fan, 2000RPM / 75CFM
Main Connector: 20+4Pin

Need new power supply too

Ok, throw in a power supply. What card would you recommend then?

What originally happened was I bought the 2048MB ATI AMD Radeon HD 6570 (Diamond) and had Staples install it. They never updated the power supply and it eventually killed my board and cpu. So, I went out and purchased the new Gigabyte board and Intel processor. I had a computer shop (not staples) install and data transfer everything for me. He then said I needed to update the power supply and bought that supply for my current setup.

Whats your budget?