First, I think you’re underspending on the DAC given the rest of your system, but at your price level and given the rest of your system I’d recommend this used Denafrips Pontus II (and not the RME DAC)…
https://www.usaudiomart.com/details/650046415-denafrips-pontus-ii-in-black/
Second, I also started streaming through my iPad, but there are huge performance gains to be had by adding even a budget streamer so I wouldn’t put that purchase off too long. And if you’re thinking of using the Apple Camera Adapter to feed USB to the DAC don’t. It sucks. Spend a few more bucks on this and you’ll be much better off sound wise…
Last, do a free trial of both Qobuz and Tidal and just pick the one that has more of the music you wanna listen to, but Qobuz has many more hi-res recordings if that’s a concern. Congrats on entering the wonderful world of streaming! Your only regret will be that you didn’t do this years ago. Hope this helps a little, and best of luck.