School districts in the U.S. typically have multiple schools, centralized finance, and student assignment determined by neighborhood of residence. In many states, centralization is extending beyond the district level as states assume an increasing role in the finance of education. At the same time, movement toward increased public school choice, particularly in large urban districts, is growing rapidly. Models that focus on community-level differences in tax and expenditure policy as the driving force in determination of residential choice, school peer groups, and political outcomes are inadequate for analysis of multi-school districts and, hence, for understanding changing education policies. This paper develops a model of neighborhood formation and tax-expenditure policies in neighborhood school systems with centralized finance. Stratification across neighborhoods and their schools is likely to arise in equilibrium. Consequences of intra-district choice with and without frictions are characterized, including effects on the allocation of students across schools, tax and expenditure levels, student achievement, and household welfare.