Congratulations on joining the world of streaming. While you can use Macs and PCs to stream, it is not recommended. I have streamed off of about every platform possible in the last twenty years. You want a dedicated streamer... made for the purpose of similar quality to the rest of your system. With this you will then use an iPhone, or iPad, (you can use a PC as well) to control your streamer... search and ID music, etc.
I recommend looking at Blue Sound. Optimizing your system typically results in each component in your system costing (you must identify the best of class for each) about the same... with the speakers around 50% more. So your Streamer ~= DAC ~= Preamp ~= amp. Since your amp is integrated... then you would be looking for a Stream and DAC of roughly the same budget range. Not a hard and fast rule... but always round up if you have a choice.
Bluesound makes some great Streamers / DACs I recommend the best you can afford. I have one, I also have an Aurender N150 for my headphone system ($3.5K + a $4K DAC) and an Aurender W20SE for my main system ($22K and a $18K DAC). I have experience with many more. So I feel pretty comfortable in my recommendation.
You can see my systems under my userID under Virtual Systems.

