budget (something) for (something)
To set aside a specific amount of something, often money or time, for something else (such as an expense or task). Did you budget enough money for all of your bills this month? I was almost late to class because I didn't budget enough time for editing my paper.
budget something for someone or something
to set aside a certain amount of money for someone or something. Did you budget some money for the holiday party? I budgeted a few hundred a month for Andrew's college expenses.
budget for
v. To set aside some amount of money for something or someone: For the party, we budgeted $1,000 for musicians and food.