Peace be upon you. According to Grand Ayatollah Khamenei (may Allah protect him), a place where a person lives for a year or two is not considered their homeland in the conventional sense, nor are they considered a traveler there. Therefore, they should pray in full, even without the intention of staying for ten days.
Source: Risalah on Prayer and Fasting, Issue 541.
According to Grand Ayatollah Sistani (may Allah protect him), if one intends to stay there for a year and a half or more, it becomes their homeland after settling in, and they should fast and pray in full. However, it is recommended to combine short and full prayers and fasting during the first two weeks unless they intend to stay for ten days, in which case they should fast and pray in full.
Source: Official website.
May you be successful in all good.