Managing PATH Environment Variable

Parameter Details
PATH Path environment variable

Add a path to the PATH environment variable

The PATH environment variable is generally defined in ~/.bashrc or ~/.bash_profile or /etc/profile or ~/.profile or/etc/bash.bashrc (distro specific Bash configuration file)

$ echo $PATH
/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/usr/games:/usr/local/games:/snap/bin:/usr/lib/jvm/jdk1.8.0_92/bin:/usr/lib/jvm/jdk1.8.0_92/db/bin:/usr/lib/jvm/jdk1.8.0_92/jre/bin

Now, if we want to add a path (e.g ~/bin) to the PATH variable:

PATH=~/bin:$PATH
# or
PATH=$PATH:~/bin

But this will modify the PATH only in the current shell (and its subshell). Once you exit the shell, this modification will be gone.
To make it permanent, we need to add that bit of code to the ~/.bashrc (or whatever) file and reload the file.
If you run the following code (in terminal), it will add ~/bin to the PATH permanently:

echo 'PATH=~/bin:$PATH' >> ~/.bashrc && source ~/.bashrc

Explanation:

echo 'PATH=~/bin:$PATH' >> ~/.bashrc adds the line PATH=~/bin:$PATH at the end of ~/.bashrc file (you could do it with a text editor)
source ~/.bashrc reloads the ~/.bashrc file

This is a bit of code (run in terminal) that will check if a path is already included and add the path only if not:

path=~/bin # path to be included
bashrc=~/.bashrc # bash file to be written and reloaded
# run the following code unmodified
echo $PATH | grep -q "\(^\|:\)$path\(:\|/\{0,1\}$\)" || echo "PATH=\$PATH:$path" >> "$bashrc";
source "$bashrc"

Remove a path from the PATH environment variable

To remove a PATH from a PATH environment variable, you need to edit ~/.bashrc or ~/.bash_profile or /etc/profile or ~/.profile or /etc/bash.bashrc (distro specific) file and remove the assignment for that particular path.
Instead of finding the exact assignment, you could just do a replacement in the $PATH in its final stage.
The following will safely remove $path from $PATH:

path=~/bin
PATH="$(echo "$PATH" |sed -e "s#\(^\|:\)$(echo "$path" |sed -e 's/[^^]/[&]/g' -e
's/\^/\\^/g')\(:\|/\{0,1\}$\)#\1\2#" -e 's#:\+#:#g' -e 's#^:\|:$##g')"

To make it permanent, you will need to add it at the end of your bash configuration file.
You can do it in a functional way:

rpath(){
for path in "$@";do
PATH="$(echo "$PATH" |sed -e "s#\(^\|:\)$(echo "$path" |sed -e 's/[^^]/[&]/g' -e
's/\^/\\^/g')\(:\|/\{0,1\}$\)#\1\2#" -e 's#:\+#:#g' -e 's#^:\|:$##g')"
done
echo "$PATH"
}
PATH="$(rpath ~/bin /usr/local/sbin /usr/local/bin)"
PATH="$(rpath /usr/games)"
# etc ...

This will make it easier to handle multiple paths.
Notes:
You will need to add these codes in the Bash configuration file (~/.bashrc or whatever).
Run source ~/.bashrc to reload the Bash configuration (~/.bashrc) file.