I agree that a new PSU is needed if you want a new card, such as a 1060.
That being said, I run a 650W Corsair with a 1080TI so really, if you were looking at a 1050TI or a 1060 all you need is a decent 500/550W from a reputable brand like Corsair, Seasonic, EVGA
If the rig is noisey, its unlikely being caused by the power supply, but rather buggered up bearings on case fans, cpu cooler fan (if appplicable)
A new psu and gpu would be a drastic difference in gaming, and if you needed to change some fans,,120mm and 140mm are dirt cheap.