As stated in this question, it's normal for people to have interviews at multiple companies, and receive offers from some companies earlier than from the others.
I would like to negotiate the offers.
I wonder if it would be better for me to only start negotiating the first offer after all the other interviews have finished, or would it be sensible to already start the negotiation after receiving that first offer, i.e. this question is about the timing of the negotiation email, and thus hopefully different from the linked question.
Would there be any negative impact to the negotiation process if I don't mention anything about negotiating the offer in my message to let them wait, only to start it after a week of the employer waiting for me?
Another worry of mine is that if I don't get any additional offers by then, I'd probably be in a bad position for the negotiation, while if I negotiate when it's still possible for me to get other offers, it would put me in a better position.
Or is this thinking flawed and I should only mention and kick off negotiations after all my options are clear, so that I get more leverage?