Make a decision
This is a general act and implies a multitude of options, abstract options or unspecific other options. For example, "I finally made a decision about what to do with my finances."
Make a choice
In this situation, you are describing a specific action from a limited or specific number of options. For example, in the movie the Matrix, Keanu Reeves is offered a choice between the blue pill and the red pill.
Decide is NEVER used in a transitive situation, ie with a direct object. Whereas, choose can be used as both a transitive and intransitive verb.
You can say.
I choose the red pill.
You can also say
I choose to take the red pill.
If you wanted to use decide in this sentence, it MUST be used with an infinitive following it.
I decide TO TAKE the red pill.
You cannot say I decide the red pill
I found a good source that describes choose as catenative verb.
- This is a catenative verb that takes the to infinitive.
This comes from Wikidiff.com
And finally, in my dialect of English (American), I would never say:
Take a decision.