Be very careful. Sizing a gen for off grid can be tricky (at least from my experince).
1 kw gen? Maybe running at max. More like six or seven hundred watt running at best fuel effency (not to mention longevity. Try running your car motor in the red for a while).
Rick and James are right. You'll need enough to run everything, plus have enough left over to charge with. Knowing how much that is is important.
Need auto start? Very tricky indeed...
