Yes, you may deduct your medical premiums for a policy in your name that covers you and your spouse. Since your children are on another policy, those premiums would not be included in the Self-Employment Health Insurance Deduction. But you may report those premiums as an Itemized Deduction for Medical Expenses on Schedule A.
Per IRS
Pub
535 Self-Employed Health Insurance Deduction: "You may be able to
deduct the amount you paid for medical and dental insurance and qualified
long-term care insurance for yourself, your spouse, and your dependents. [snip]
For self-employed individuals filing a Schedule C,
C-EZ, or F, a policy can be either in the name of the business or in the name
of the individual."
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