It takes the same amount of energy to accelerate at any speed in space. The limit is our determination really, it is possible to visit our nearby star with ~200 hydrogen bombs
No it doesn't. Your mass increases the faster you go, so that more and more energy needs to be expended to accelerate more. At 50% light speed, you're 15% heavier. At 90% light speed, you're 129% heavier. At 99% light speed, you're 608% heavier. Your mass goes to infinity as you approach the speed of light, which is why the speed of light is unattainable for objects that have mass.