This is my current go-to graphics card:
https://www.amazon.co.uk/MSI-Radeon-...dp/B0785Q6DYP/
Cheap, should be about three times faster than your GTX460, plenty of VRAM (that's the 8GB model), nice big fans to keep it quiet and at low load the fans don't spin so it runs fully passive.
My son has one to drive his 4K TV. I have one in the PC downstairs to drive the VR Headset. You can pay a lot more for a little more performance, so I see at as one of these or pay double for a 2060 or RX5600 XT (though I don't know if AMD have sorted the drivers out on those new cards yet).
Requires an 8 pin PCIe power connector, so for my son's old Dell I had to get a cheap SATA to PCIe power adapter cable.