Question: If my total CL is close to my gross income, can I still get new CC? 

I've tired of too many CCs, which one to close?

Citi: Dividend 3.5k, Forward 5k

Chase: CSP 5K, UA 7K, Freedom 5K

Amex: Delta 9.5K, SPG 3K

Barclay: NFL 1.5K

Discover: It 5.4K

Intend to close Delta and UA soon. 

Thanks.