Well, we cannot predict the way migrated accounts will behave in SBI environment (although they all works same but certain services are only adhere to SBI, which now will be applied to the all newly included accounts), but you might have to look for the new account numbers and probably the new IFSC code of your home branch (unless they have moved it to a pre-existing SBI branch).
I hope the internet banking experience will be same as before and no login creds will be changed, but you might expect a bit time to get the bank accustom with the larger customer base. Thus there might be no expected movement of the internet banking facility (it was operated by same department when they operated independently).
Please inquire for the newer rules announced for the banking operations after merger. In my opinion, internet banking facility will be as smooth as it was before.
No matter whatever happens between SBH and SBI. There is no point to be worry about Net Banking. Because when you will be try to access onlinesbh.com website. It will automatically redirect to office State Bank of India website http://onlinesbh.com
You can as usual login to your SBI Net Banking and access your account information. Here you can also view any SBI group account information.