the difference is that a six pin power connect will use 75 watts maximum
the 8 pins will use 150 watts maximum
add to that number the 75 watts delivered to the gpu via the pci express x16 slot
depending on your psu and case you possibly want a less power hungry gpu, so the 6 pins is preferred in that logic
the one with 8 pins possibly has better overclocking capabilities
about the gpu, very few 1050ti uses a power connector so they rely only on the 75 watts from the pci express slot
the 1060 is way faster than the 1060 so you will need the 6 pins and a good psu working well with that gpu
the psu you mention, doesn't sound like a decent psu, i would upgrade that first and then decide about budgets, noise and power consumption
the psu is critic on all pcs, so t is a part where you won't want to save for later, a burned psu can kill other parts on your pc