This is Nick, the guy who just moved in with me recently.
This is Nick, he just started living with me last month.
ーThis is Nick, the guy who just moved in with me recently.
「彼は最近うちに引っ越してきたニックです」
to move in で「移り住む」
recently で「最近」
ーThis is Nick, he just started living with me last month.
「彼は先月うちで一緒に暮らし始めたニックです」
to start living with ... で「…と一緒に住み始める」
ご参考まで！
カナダ 
