Classically, ~/.profile is used by Bourne Shell, and is probably supported by Bash as a legacy measure. Again, ~/.login and ~/.cshrc were used by C Shell - I'm not sure that Bash uses them at all.
The ~/.bash_profile would be used once, at login. The ~/.bashrc script is read every time a shell is started. This is analogous to /.cshrc for C Shell.
One consequence is that stuff in ~/.bashrc should be as lightweight (minimal) as possible to reduce the overhead when starting a non-login shell.
I believe the ~/.environment file is a compatibility file for Korn Shell.