No, claiming dependents is not itemizing. Totally different things. Everyone gets to deduct either the Standard Deduction or all their Itemized Deductions whichever is more. So you can both take the Standard Deduction.
For 2019 the standard deduction amounts are:
Single 12,200 + 1,650 for 65 and over or blind (13,850)
HOH 18,350 + 1,650 for 65 and over or blind
Joint 24,400+ 1,300 for each 65 and over or blind
Married filing Separate 12,200 + 1,300 for 65 and over or blind
