Help me find my ideal Stereo Integrated Amp

The Hegel H600 is a lovely box that should do it all and well. 

Maybe underpowered at 150W into 8 ohms, <1% THD; 280W into 4 ohms, but I’m going to suggest Aesthetix Mimas.

Most integrated DACs are okay to subpar, so it usually best to get a separate DAC. Integrated phono is usually minimally satisfactory. But the Aesthitix Mimas optional DAC and phono cards are sonically superior. Aesthetix has been around a long time with a great sonic reputation. Missing is the streamer option, but extremely few audiophile quality integrates have it.

The Hegel H390/H590 has good DACs, the H600 an notably better DAC, but don’t offer phono or streaming.

Other integrated choices at the 10k price point the DAC sonics would be notably inferior, maybe a good trade off if the OP decides that features (having DAC, phono, streamer in one case) are more important than best sonics.

You should look at the PS Audio Stellar Strata MkII. It's $3500 and fills all your requirements. At this time they have a sale going on which includes their Airlens streamer, a $2000 item, included for free.

https://www.psaudio.com/products/stellar-strata-mk2

"I think a lot of people here have been very successful and are retired and have a lot of time and money to spend and are one or two zeros ahead of me..."

Not me. Sometimes I think my only hope is reincarnation...

Check out the new Hegel H400.  I have the H390 and it is really good for the money and the H400 is getting nothing but great reviews.

All the best.