Worth asking how you run games first of all (online or in person etc) as this may give us a few options, but also how you use syrinscape.
For online games since I’m at my PC I’ve usually got it open in the background, one so I can hear it and second to pick something a bit more obscure. For me I use it to add the ambience so I’m not using SFX much or need access to quick buttons in it usually just get the right sound and go. I’ve set up (well, still sorting it, never happy ) a stream deck with a number of folders for pre-set sounds for things like taverns, cities, traveling and different moods between them so I can quickly go where I need without interrupting me. It’s working very well and I’ve moved that into the in person games by running the iPad streamdeck app (essentially the same, but on an ipad) and connecting the Syrinscape app from my phone to a speaker for the room as Benjamin mentioned - still needs to connect to my PC over the wireless but with it split screen on that and either my spells app or OneNote I’m fairly ready.
Thats my setup, but it does depends on my PC so if you’re traveling it’s not ideal. One thing I did find trying the web interface is screen size is a challenge - larger tablets are more expensive for quality and screens don’t always scale - so I ended up just going a cheaper laptop - In my case a second Hand Microsoft Surface. Gave the tablet style, smaller space, and the power and advantage of a laptop so more options as it can handle all the DM tools I’d need.
If you are wanting the tablet route then most in the last few years will be fine - I’d always say try them before hand if you can as I find a lot of the cheaper lesser known brands tend to use lower quality in areas like the screen which can be off putting for long time use but spec wise as long as it’s running the latest OS’s you’ll be fine.
But tell us how you see your setup and we can help fill in the bits you need.