Best way to do this with a new tank ...
a day or two after confirming that the tank is cycled (no ammonia and no nitrites), change 90-99% of the water.
Refill with RO water (ideally), or distilled water in your case. Remineralise the water to the ideal parameters for your shrimp. Adjust pH, KH and GH. Wait for temps to stabilise and reach what you set, if you use a heater or chiller let it run until your temps get to your target.
Measure one last time to ensure you are not detecting ammonia or nitrites.
Now, pour out the water in your pail, leaving 2-3 litres (careful to not pour out your shrimp!). Drip the new tank water into the pail. The plan is to acclimatise the shrimp to the new tank water, which has hopefully been set to the ideal parameters. Drip in the same amount (2-3 litres) into the pail. The water in the pail will now be very close to the tank.
You can retest the water in the pail to check how far off it is compared to your tank water.
If you are happy, move the shrimp into the tank.
Otherwise drip more water for a bit longer.