Claiming Tax Depreciation with low income

[Phineas Howie]

Heres the situation:

1. My income from my job is low. 

2. I have a cash flowing rental property.

3. My goal is to become more "bankable" (a better candidate to be approved for traditional lending) 

Question: Should I claim Depreciation on the rental, or will that make it look like I have less income and therefore less bankable? Do the two the two things affect each other or am I confused?