To add to Drew's comments, make sure there is oil as well before starting...most likely not premix models unless fairly old, but I'm guessing they are 2-strokes. You can do compression checks on the cylinders as well...can probably find allowable range of numbers online based on the model/engine.

Farther North than Texas winterizing is typically done...flush engine with antifreeze, make sure pipe is free of water, fog engine, etc...not always necessary, but cracked blocks do happen.