Tax implications of cash out refi to buy investment property

[Frank Wells]

Thank you in advance for taking the time to read and/or answer my question.  I appreciate your time.  I'm, not sure how to pose this question either but here goes...

I recently used a cash-out refi to purchase a SFR rental property for 100% cash but I am now wondering if it would have wiser to buy it using a traditional mortgage from a tax perspective. Will I file a Schedule E for this property and get benefits like depreciation?