What is something you might use to you make a choice between two seemingly equal alternatives

That would be something called a decision-making grid.
The decision-making greed is a useful tool for making the best decisions especially in the financial matters. It can help you visually see what are the best options and the pros and cons of those options. For example, the decision making grid could help you see which choice would you choose on the basis of its cost.

Bis the answer because it deals with social insurance.