Water flow will often slow down from faucets when they are first turned on. The reason is that the rubber washer that presses against the brass seat in the faucet to shut the water flow off actually deforms quite a bit. Once you open the faucet and the rubber washer is allowed to return to it's original shape, it gradually pinches off the water flow.
You can minimize this problem by simply not tightening down your faucet handles as much.
Phone around to the plumbing wholesalers in your area and ask if they sell a water pressure tester. This is simply a pressure gauge plumbed onto the end of a female hose fitting. You simply screw this tester onto the drain valve on your water heater and open the valve to read the water pressure in your house's supply lines. You can buy a pressure gauge and make one yourself for a few dollars worth of materials.
60 psig is on the upper end of what's considered "typical". Here in Winnipeg, the water pressure is a pretty steady 40 psig. In cities with large hills, like San Fransisco, they have to have a very high water pressure to ensure that people living at the top of a hill have adequate water pressure, just as those living at the bottom. Typically, those at the bottom will have pressure regulators like you have to ensure that the pressure of their water isn't TOO HIGH.
Anyhow, 60 psig water pressure should be way more than enough. If your house's water pressure is considerably lower than that, it's probably your own house's pressure regulator. Check your pressure regulator. It may very well have a filtration screen in it that needs cleaning. That would explain what you're observing. If the screen in your pressure regulator is all clogged up, then you will get high pressure in your water supply piping, but as soon as there's flow out any of the faucets, the pressure will be limited to whatever flow can occur through the partially clogged filtration screen.
Maybe put a pressure tester on your hot water tank, and then have a helper open the hot water on your laundry room sink until the flow diminishes and stabilizes. Then close the faucet to stop the flow. If the pressure drops rapidly when the faucet is opened, and then gradually builds back up again, that would be typical of a restriction to flow into your house (like a partially clogged filtration screen in your pressure regulator.