It's a catch 22. If you want to preserve the Earth's biosphere or even biological humans, then you would need to move at least a ship the size of a small planetoid. That will support life for millenia that will be required for interstellar travel.

And if you can do that, then why bother with the interstellar travel? Just move to a higher orbit to survive the red giant stage. And then move closer to the stellar remnant, white dwarves will provide plenty of energy for trillions of years.

And if you manage to transcribe yourself into some kind of computing-based device, then why bother at all?