System assessment...

@larseand I get all of my equipment from Quintessence Audio in Morton Grove (Chicago).  I like them a lot and give them my highest recommendation.  If you give them a call I’m sure they would be happy to help and if on the phone you decide what equipment you’d like to audition and make an appointment, they’ll have everything setup before you arrive.  If you are not quite sure what you'd like to audition, visit the shop and explore.  Cheers.

@larseand it depends what your objective is. 
You can improve the sound of your system or add a streamer and gain access to  pretty much unlimited music library. Or do both. Depends on your budget. 
 

You have an amazing CD transport and a weak link with an integrated amp inbuilt DAC. You will have to buy a high end streamer to match the sound quality of that transport. 
Or get an outboard DAC and bump the performance of your CD playback up a few notches. 
 

If you like the speakers there’s no reason to switch them out. 

"I don’t care what anyone on A’gon says,you can not get natural warmth from speakers with metal drivers!
Dump the beer cans & get speakers with natural materials.."

And here I am thinking that metals are natural materials.

I learn so much here...

I've always questioned the DAC board on the integrated. It was a $1200 uncharge when the amp was built for me, I have always regreted not going a different direction... 

No regrets.  If you want to keep the amp, you can always add an upgraded external dac.  And if you’re like me, you may prefer vinyl as your primary source for serious listening anyway.