Upgrade amp. or speakers first?

We have two schools of thought talking here. But both are in agreement that it is the amp/speakers match that counts.
I would audition many different combinations, find the most satisfactory and then begin the upgrade in any order depending on price, mood, dealer's attitude etc. Or would wait and get both at the same time.
Personally I tilt a little towards "speaker school" and tend to think of speakers (and the room)as musical instruments. After all I have Michael Green free resonance speakers - not the last word in resolution and many other aspects of sound reproduction but they play in a very natural way with any amplification I tried.

Speakers first as they will dictate your amplifier selections.

I would suggest speakers first because you want them to be suitable for your room.

Thanks for everyone's input and advice. One problem that I have run into is determining how any speaker candidate will sound in my system, fed by the Ayre QB-9 in particular. It made my system much more lifelike. I'm thinking that new speakers may sound great at the dealers but at home, they may be too aggressive or forward. Should I take my DAC and computer with me as I audition speakers, or limit myself to the one dealer that already has the DAC. I mentioned that I heard the 804D's in systems without the QB-9 and the speakers lacked that live feeling that I'm getting at home now.

if at all possible I would try for a audition in your own home.