What is the best way to migrate a .bash_profile to Mavericks
Go right ahead and put your old .bash_profile file in your home directory and it will get read.

For your purposes .bash_profile, .bash_login and .profile are identical with the exception that one and only one will be read - the first one found of the three with bash searching in that order.

.bashrc is only read when you run an interactive shell that is not a login shell.