To bid Own suit or Support Partner ?

I am sure always you re in question between whether to bid your own suit or give your support to your partner.
This is what I want to mention when there is an overcall.Are you one of those who just bid your own suit or directly give support ?

For example your partner opens 1© and RHO 1ª your hand:
ª-
©QJxx
¨AJxxxx
§AJx

This was a real life hand and was my partner's. What would you do when you had this hand?
Do you bid 2ª, 2¨, 3ª, 4ª ? so many options.

Or you have hand below:

ªxxx
©QJx
¨AJxxx
§AJ

I will write opener's hand and everything will be clear. There should be one thing you should remember that is which of the suit has most potential of being trumps. I am not mentioning quality of suit or your support just to see the wide view.

Partner has following (this is the original hand):

ªxxx                           ª-
©AKxxx                      ©QJxx
¨Kx                            ¨AJxxxx
§Kxx                          §AJx

However, partner might have the following:

ªxxx                           ª-
©AKxxx                      ©QJxx
¨KQx                          ¨AJxxxx
§xxx                           §AJx



7¨ is lay down but 7© has no chance.

Bu if you had this hand :

ªxxx
©QJx  
¨AJxxx
§AJ

This might make a sense because if partner has ¨ fit and short in ª , 6 or 7 can make while H no chance in slams

ª -                             ªxx
©AKxxx                     ©QJx
¨KQxx                       ¨AJxxx
§Kxxx                        §Axx

This time 7© has no chance, however in 7¨ you have14 tricks :)

I hope this helps a bit.