Have you checked the oil levels ?
Freshly started vehicles may emit some white smoke as condensed water vapor in the exhaust system is burned off. If smoke persists after your Honda warms up, it could indicate a problem.
White smoke indicates an internal coolant leak, usually head gasket problem.
If I where you I'll probably do this:
1. Engine Compression test.
2. Leak Down Test on the engine block.
3. If point 1 and 2 is ok. Change valve seals.
4. If point 1 and 2 is ok, and still smokes after point 3. Change piston rings.