You're going to need expressions for for bouncing and jiggling.
Hopefully, someone can point you to an expression that would be suitable for you.
If not, you can go to the Effects and Presets panel menu and choose to Browse Presets. You can then look in Bridge for Adobe After Effects > Templates and look for the Expression Sampler and open it. The project opens in After Effects with a number of comps that should give you an idea for the expression you'll need.