You have your own home in Lucknow, so it shall be your native place. Whenever you visit Lucknow for one day or half a day you shall be muqim and you shall offer complete salah. And when you visit Delhi or Unchahar then in case you intend to stay there for fifteen days you shall be muqim there and offer full salah. And in case you intend to stay less than fifteen days then you shall be musafir and if you offer your salah alone then you shall do qasr.
Allah knows Best!
Darul Uloom Deoband