Does it make a difference who you choose to be your children’s Godparents? YES!
People often want to ask their best friends or favorite relatives to act as Godparents for their children; they usually do this as a way of honoring someone. Of course, we all would like to honor those who are dear to us, but the Baptism of your child may not be the right time to do so.
Would you ask your best friend to perform heart surgery on your child? Of course not, unless he/she were a competent heart surgeon. So if the role of Godparents is to help the parents to raise the child in the good practice of the Catholic faith, then it stands to reason that you should ask someone who shows by their own knowledge and practice that they can help someone else follow in their footsteps.
Helping a child become a good Catholic Christian in an important undertaking; it is therefore, equally important to ask someone who regularly prays with the community at Sunday Mass and, who in other ways practices his/her faith and shows commitment to Christian values.
None of this is to suggest that your dear friends or relatives are not good people. They will surely be with you to help you in many other ways. But, a teacher of mathematics may not be a good teacher of English grammar and a good friend or close relative may not be the best model of Catholic Christian practice.
If you value your faith, you will choose the best teachers to help you pass that faith onto your children.
*Taken from Archdiocese of Santa Fe, Godparent (Sponsor) Agreement, September 2005