I'm playing an Insanity deck. I play Enemy of my Enemy, discarding The Joker - Out Of His Mind (When you discard him, you may remove him from the game. If you do, shuffle your hand into your deck, then draw that many cards). Do I search first, then shuffle my hand in, do I shuffle then search, or do I get the choice?

Furthermore, let's add in Beside Myself. When does the flip a coin effect come in?

Here is the chain

EOME

Joker gets added

Joker
EOME

Joker resolves
Besides myself triggers

Besides
EOME

Besides resolves
May or may not trigger Besides Myself

EOME

Enemy resolves if Besides did not trigger again.

Now if you played a tutor that discarded as part of the effect Joker would resolve after the tutor but Enemy has it as part of the cost. Is that good?

That clears everything up. Thanks a lot.