to take somebody vs to take somebody out

Is there a difference between the following two sentences?

• I'll take you to a good restaurant in Paris
• I'll take you out to a good restaurant in Paris

Does "to take out" implicitly mean that I am going to pay the bill and "to take" not?

Solution 1:

To take someone out to a restaurant is to go there to eat with them and likely pick up the check. To take them to the same place may be only to take them to that location. Perhaps to see what they are serving, drop them off there or other geographic concerns.

Another idiom is to take someone out without specifying a destination meaning to murder them.