For a VA home loan you will also need to meet your lender's credit and income loan requirements to receive financing.
Can I get a Certificate of Eligibility as the spouse of a veteran?
You may be able to get a COE if you are the surviving spouse of a veteran or the spouse of a veteran who is missing in action or being held as a prisoner of war.
Can I use the same COE I used to purchase my current home if I am relocating?
You may be able to restore an entitlement you used in the past to buy another home with a VA direct or VA-backed loan if you meet certain requirements.
Does my current home need to be sold to re-use my COE or can I keep it and use it as a rental property?
You can re-use a COE if you've sold the home you bought with the prior loan and have paid that loan in full among other requirements.  If you wish to request an entitlement restoration, fill out a Request for Certificate of Eligibility VA Form 26-1880 and send it to the VA regional loan center for your state.
What are the requirements for re-using a COE?
Have you sold the home that you bought with the prior loan and paid that loan in full?
I have not sold the home.  I was wondering if I could keep it and use it as a rental property.
Is it possible that a qualified veteran-transferee would agree to assume your loan and substitute their entitlement for the same amount of entitlement that you originally used?
I do not understand what that means or how that would work.