Under Special Marriage Act
you can marry either in hyderabad or bangalore.
one of you have to show the proof of residence for registering the marriage.
both of you have to show matriculation certificates to prove the age of both.
both of you have give affidavits in prescribed proforma saying certain facts.
you have to produce two witnesses at the time of registration of marriage.
you have to submit passport size photographs.
you engage an advocate and he will take you through all the procedures.
sending notice to families, can be avoided by taking some appropirate steps to be suggested by your advocate. Besides, the hon'ble Delhi High Court (delivered by justice Ravinder Bhatt in 2010 - your advocate can search the case) in one of the cases diredted the marriage reigstrar not to send the notice to the family.
After waiting one month, the marriage will be registered and you will get certificate.
If one of you are a Hindu and another one is not Hindu and has no objection to be convered to Hindu, you can go for Arya Samaj Marriage and get certificate from there. There no intimation will be given to parents. Other documents required are as I said above. After registration obtained from Arya Samaj Mandir, you can again get it registered under Section 8 of Hindu Marriage Act on the next day itself.