There is a safe way of removing active catalysts, and many unsafe ways. The unsafe ways usually cause fires.
First, be sure that you do a thorough job of purging the hydrogen gas.
Second, If you have a convenient way to filter through celite in an inert gas atmosphere, do so.
Third, as Orgopete says, don't let your catalyst dry out. Have plenty of solvent on hand so that you can add more to wash the filter cake before it starts to dry. Also have water on hand - as soon as you have finished washing your filter cake (leaving some solvent so it doesn't dry out), turn off the vacuum, move your funnel to another container, and add water immediately. Transfer the catalyst and filter cake in water to your heavy metal waste bottle, and be sure there is enough water in the bottle to cover the solid contents. Don't let the waste dry out either.
I've seen more than one hood destroyed working in pharmaceutical research companies because people were careless with hydrogenation catalysts. Pay attention to how you handle them. They are safe and convenient to work with, as long as you treat them with respect.