My child did PK3/4 in DC and had to repeat PK in MD when we moved there because of Sept bday. (We tried for early entrance K in MCPS with no luck.) Kid has done fine both as youngest in DCPS and oldest in MCPS.
I certainly would not try to game the system for an extra year of PK. Hold child back only if it developmentally appropriate, which you should be able to do if the current school agrees is the case. Then your kid would simply repeat PK in your current school.