You are currently in year 11, a KV school run by ISRO in Kerala as your father is in CISF. You are considering a transfer. There is no need to waste a valuable year of your education life at this point of time. You have mentioned that you are a brilliant student, so don't lose heart. Think about the following.
A.Your father and yourself can first try to settle this without the need for your father to seek a transfer.Let him speak to his friends and senior officers and see if they can help you
1.Transfer from on KV school to another during transfer of parents is an accepted modality that can go smoothly. Many people misunderstand the fact that change of local KV school to another local KV school without parents transfer is not that easy to seek. Please check under section:7: Admission with KV TC -transfer certificate including local transfer (http://kvsangathan.nic.in/GeneralDocuments/ADM-17-18.PDF)
2.For acceptable reasons a local KV transfer would be considered (change of residence, change of job, change to a school wherein one sibling is studying, ill health of parents). Beyond this, reasons for a local transfer and the grant of it depends on the KV admission committee in that area. For local transfers, you ad parents need to meet the local principal of the schools (you are studying and the school you intend to go) and request for a local transfer to a different school. (http://www.kvpicket.edu.in/admin/downloads/1130897580local_transfer_proforma.pdf).In cases where parents transfer is not involved, and admission/local transfer will be done only with the approval of Deputy commissioner of the region.
3.If this fails, then you have the grievance redressal pathway to consider. There are grievance redressal cells setup at regional KV offices and at the KVS headquarters in New Delhi. Please refer to page 4 of this pdf document (http://kvsangathan.nic.in/charter.pdf)
In Kerala, one of the offices listed is in Ernakulam.
Assistant Commissioner & Grievance Officer
Kendriya Vidyalaya Sangathan Kadvanthara, Ernakulam-682020
Phone: 0484-2203116, Mob. 9446522797.
B.If the above does not work, then plan and discuss about your education including your graduation and then you can think about seeking a transfer for your father. CISF has a transfer policy that includes application for change of posting based on grounds of children's education as a valid reason. (http://www.cisf.gov.in/wp-content/uploads/2013/07/GENERAL_TRANSFER_FOR_GOs.pdf).