Non-lightspeed travel to not-too distant stars

So humanity has decided to reach for the stars, they can't get anywhere near light speed but that hasn't stopped them.

The plan is to create a self sustaining ship and attach it to a large sungrazer comet which is used to exit the solar system by altering its angle of orbit.

What speed could it get to using conventional means (defined as proven technologies at our current level that could be foresee-ably be improved upon in terms of efficiency) and how long would it take to get to the determined location "” approximately 25 light years away. The crew won't mind how long it takes as they'll be reconstructed at the end of the journey from stores of carbon and other materials.

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Non-lightspeed travel to not-too distant stars

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