Trees super close to house - should I walk away from it?

[Jin Zhang]

Hi everyone, 
I am looking at a place in Tampa FL which have trees super close to the house. I am worried that the trees could fall on the property due to hurricane or the root could hurt the foundation. Both of them would cost a lot to repair. What do you think? Should I walk away from it because of it? Or there is a way to mediate the risk? Thanks!

Best,
Gin