Rent goes up starting next month.

Literal

Next-month from rent [object-を] raise-do.

値上げ ('raising prices') is a compound noun 値 ('price') + 上げ ('raising'), common in economic news. 値上げする is its verb form. Note を marks 家賃 — this is the transitive 'raise [the rent],' implying an agent (the landlord).