Please suggest safe and decent residential areas close by and let me know what the approximate cost would be
Yep - other side of Zolnierzy - closer to Gdansk. Enter ul. Topolowa.... close to the forest. You are talking 1800 zl for a 55 metre flat inclusive. DO NOT rent close to the SKM or the main road. Wrzeszcz is wuf.
I would rent Gdansk Dolne Miasto or Stogi for value.....