Richard Spink was jailed for 16 months over the offences in January this year.
Leeds Crown Court heard Spink targeted Tate House, on New York Road, on January 9.
After gaining access to the apartments he went into the car park and smashed the rear window of a car.
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Spink then helped himself to clothing and shoes which were in the vehicle.
Kristina Goodwin, prosecuting, said the victim was in the process of moving into the apartments and had clothing and personal items in the vehicle.
Spink was identified as the suspect after traces of his blood were found in the vehicle.
Spink and an unknown accomplice entered the building through a basement car park before breaking into ground floor offices.
A bag of food supplements worth £30 was stolen.
A screwdriver containing Spink's DNA was recovered from the scene.
Spink broke into Lords Barbering in Grand Arcade twice on January 21.
Spink, of Richmond Hill, Leeds, refused to comment when he was arrested and questioned about the offences.
He pleaded guilty to four offences of burglary.
He has 34 previous convictions, including for offences of burglary and theft dating back to 2000.
Phillip Mahoney, mitigating, said Spink pleaded guilty to the offences at an early stage and accepted he must face a prison sentence.
Jailing Spink, Judge Geoffrey Marson QC said: "Your situation is aggravated by the fact that you have a terrible record involving burglary.
"There must be an immediate custodial sentence.
"There is no prospect at the moment of rehabilitation."