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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.
I just used the calc, it's closer to 152 years. Which I assume means acceleration at 1g for about a year to reach .999c, and deceleration for the same time.
I just confirmed with dV= a*t, a year of 1g(9.8m/s/s) gets you just over the speed of light. I think it's more complicated than that, If I remember right relativistic speeds require more and more energy to accelerate so you can't ever "reach" light speed.