Really not a simple choice (Score 4, Insightful)

Inputting a figure of 10,000 years into your time machine is pointless. You'd have to be *very* *very* accurate with your jump times to end up in exactly the same physical spot you were when you set off.
In 10,000 years, not only will the orbit of the Earth have expanded out slightly around the sun, but the position of the sun relative to the gravitational centre of our galaxy will have changed also. Likewise, our galaxy will have moved out slightly from the centre of the big-bang too.

Chances are with all these options you'll end up floating dead in space.