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Found a calculator: https://www.calctool.org/relativity/space-travel
Assuming we want to accelerate at a constant 1g for half of the travel and then brake at 1g for the second half of the travel we would need 151 years to get there but only 9.794 years would pass on the ship. Depending on the mass of the ship we would need coupe million/billion tons of fuel (anti-matter).
How can it take 151 years to go 150 light years when not close to lightspeed most of the time? I get the 9 year thing, but 151 years seems wrong.
Most of the journey is spent traveling very close to light speed. It's not a linear ramping up and ramping down of speed, since it takes more energy to accelerate the closer you get to light speed. Rather you quickly accelerate to near light speed and spend most of the trip working on that last small bit of velocity.