The GS3/K10 combo is beast of a duet to have but we are into the thousands of dollars territory there.
Might be that Nemo is happy to drop the $$ on a bad ass setup like yours.
I couldn't go that far personally even though I would have loved to get my hands on a GS3.
I would echo what has been said about considering the secondary market. There are some fantastic machines and grinders to be had pre-loved in brilliant conditions.
My setup is a Gaggia classic (pre-2015, i.e. The good ones) and a Mazzer Superjolly:
Both of these were purchased pre-loved in as new condition.
The Mazzer is a beast, it truely is. I would say that 70% of the coffee shops I frequent in London use this as their primary grinder. I bagged mine for £250 (about 310USD with today's rates) three years ago.
The Gaggia is a capable machine out of the box. I paid £130 (about 160USD) for it three years ago, again as new.
Now the pro coffee gurus would be able to extract a fantastic cup with the Gaggia as is. I however have heavily modified the Gaggia and can now produce shots that I believe can stand up to any you get from a coffee shop, if not better.
The mods are many and some of them a little pricy and time consuming, so if you are happy to get your hands dirty, go the Gaggia route.
The Sylivia is a much better version of the Gaggia. Very capable with more 'industrial grade' parts (much more brass than the Gaggia) but still has it's limitations - lack of a PID being the main. However because the Sylvia's boiler is significantly larger than the Gaggia, the lack of a PID is much less of an issue and you can create really good shots with it as is.
These two are the most entry level I would consider. If the budget is high enough, a whole new world opens up with HX machines and double boilers etc.
I would however not neglect the grinder. I cannot stress this enough. The world's best coffee machine will have it's hands tied with a crappy grinder. Spend at the very least the same amount of $$ on the grinder as tye coffee machine itself.
I spend 2x on the grinder and I am glad I did every time I pull a shot.
get as good a grinder as you can.
Separately, depending on how much of a coffee geek you are/want to be, have you considered lever coffee machines?
I think I'll stop here...