Avoiding "this" is an excellent way to improve your writing. You can certainly use any of these sentence starters to help you out. With a sentence starter, you might still use "this," but it won't stand out as repetitive. Additionally, you might want to think about other ways to state the point or combine two ideas together into one longer sentence. See the following:
Inevitably, this disruption caused a problem in society because corruption began to be seen at all levels. Bribes were expected by all public officials. Therefore, the disruption...Moreover, the problem started...Furthermore, without having any way to stop it, the officials in charge began to....this system of corruption.