Hi, let me see if I can help you...
There is no way to write off a gift on a individual or business return. In order to write off a deduction the recipient must pick up the income on their return. A gift is not taxable to the recepient, however it is also not deductible to the donar.
Sorry, the donor, not donar LOL
I have read in several locations that we can gift 13,000.00 (26,000) for couples filing jointly to family members to decrease are taxable income
Yes you can give those amounts without any tax effect to the recipient, however it is not a deduction from your current taxable income, however it does reduce your estate, and if your assets are large enough to be a taxable estate, it will reduce your overall estate tax in the event of your death.
And to clarify what I mean by "if your assets are large enough", is right now the gift tax exclusion amount is 5 million dollars. It is a common misconception that gifts are a tax deduction but they are actually a deduction from possible estate taxes, not income taxes.