As a web developer myself, I would suggest to stay far away from flash. Some people even completely disable flash in their browsers due to multiple reasons. And with Adobe putting the axe in flash on mobile browsers last year, yeah, you should change it. Like NickA said, you can achieve the same with HTML 5 and it'll work very well. And I don't know if you have it now, but you can also code it specifically for mobile devices if it exceeds certain number and it'll be more mobile friendly.
As a web developer maybe you can answer a question I have about Flash, Why do large companies like Coca Cola, Pepsi, McDonalds, Chrysler etc all have flash elements in their websites and all of the Native You Tube Videos(native non mobile) are all flash. All porn videos, the largest watched thing on the internet ( so I have heard, I wouldn't know) are flash. They have huge budgets so why would they use something that dosen't work?
Just curious