Hey Mary!!Great to see you back! Hope you are feeling better now
Yeah I'm sure you can install the bombs on the same server as joomla did not use the cgi folder. You can add the fatbomb searchbox into the joomla site by editing the index.php of the template.
as for blogbomb, it's even easier, go look for a module that displays rss feeds , then you can display pheeds made by blogbomb..
hope that helps!
Christopher