Terminal – lose useful keyboard shortcuts during SSH connection

I'm using the following.

Have a shell command, called myssh, with content:

PROFILE="$1";shift;
DEF="Basic" #the default profile name
echo "tell app \"Terminal\" to set current settings of first window to settings set \"${PROFILE}\""|osascript
ssh $@
echo "tell app \"Terminal\" to set current settings of first window to settings set \"${DEF}\""|osascript

and use bash aliases for the connect, like:

alias ssweb='myssh Homebrew user@web.example.com'
alias ssmail='myssh Ocean me@mail.example.com'

When I want to ssh into the web server, I simply write ssweb in the Terminal and I got the "Homebrew" profile. When the ssh session ends, the AppleScript sets back to the "Basic".

The aliases should go into your $HOME/.profile or similar bash-startup file.

The "Homebrew", "Ocean" etc. are the setting profiles from the Terminal.app preferences. You can also set up different fonts, encodings, etc.

Of course, you can use it directly (without aliases) like:

myssh Pro user@another.machine.example.com
       ^        ^
       |        ssh command arguments
       terminal profile name

Your prompt is messed up, specifically PS1:

PS1=$[\033]0;37m]

that's missing a lot of escape characters (\e[) needed for the colors (and most useful parameters for a PS1). That's also why you get the 37m in the terminal window title. Try setting it to something different by running:

export PS1="\e[0;31m[\h:\W \u]\$\e[m "

and see if that works. It should give a red (thats \e[0;31m) prompt showing hostname (\h), current working directory (\W) and logged in user (\u) inside brackets [] and the bash exit status of the previous command (\$). Note that at the end the color is reset to the default of the session with \e[m .

If the above worked, you only have to find out from which configuration file your "bad" PS1 comes from: look for an "export PS1=" line in ~/.profile, ~/.bash_profile, ~/.bashrc, (as M K already suggested in his answer) and put in the above version.

There are a lot of answers around here with helpful colors codes and inputs for configuring the PS1, like this one for example.