Rational means to follow some sort of logic in coming to a sound conclusion.
Sensible simply means to not act in a way regarded as 'silly'.
In most cases they can be used in the same way, but there are cases where they are different.
For example, let's say that "Buy our food!" is the name of a supermarket, whose brandname is particularly famous in a certain country. They happen to buy food from a person called Bob, add their logo on the front, and sell the food for more money.
A rational man may say "Well, Bob's food is cheaper than buying the food from "Buy our food!", and it is just as good, hence it would be rational to buy the food from Bob."
A sensible man may still buy the food from "Buy our food!", even if he knows it is exactly the same as Bob's food. He acts irrationally, but that does not mean he is not sensible. It just means he acts in a refined manner, and does not go round throwing jelly at people, for example. (By the way, I think there was a psychological experiment similar to this, and it was found that most of us would indeed prefer food from "Buy our food!", even if we knew it was the same as Bob's food.)
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Or, a rational man may act with his head, but a sensible man may act with his heart - this is another example which can emphasise the difference. There is nothing that is not sensible about acting with one's heart, but it may not be rational.
With regards to your question, I think one would say "To act with my head", or "To act with reason" (no 's'), both of which would mean "To act rationally".