Next month will mark ten years of living here.

Literal

Next-month [at-で] here [at-に] 10-year-[duration-間] lived [ことになります] (it-will-be-the-case).

Another cumulative-duration ~ことになる construction. Interesting variant uses ~間 to mark the 10-year duration explicitly. Note 住んだ (past) rather than 住んでいる (ongoing) — the focus is on the elapsed span, not the current state.