V 4.4.2 Upgrade From Php 5.3 To Php 5.6

We're running cart version 4.4.2 on php v 5.3

The shared GoDaddy hosting account gives us the option to switch to php v 5.6.

Has anyone had any issues that break the store by switching to php v 5.6?

You will be fine.

http://docs.cs-cart.com/4.4.x/install/system_requirements.html