Make sure you fully understand their benifit package.
If your in a positon that gets bonus get their history of bonus payouts meaning how they did against their goals.
You seem like you don't want to flatline in you upward movemant within your company...so ask them what their inside promotion percentage is based on their outside hire.
Ask yourself what is making you think about leaving the company your at now and what you would like differant then ask the new company their policy/procedures...no sense leavin one place to go to another that is exactly the same.
AND MOST IMPORTANTLY DO NOT FORGET THIS WHATEVER YOU DO!!!
Ask them what their hours of operation are during hunting season!!!