If you have purchased the songs from the Tunes Store, then as far as I understand it they cannot be streamed to an iPod Touch (or an iPhone).
Note that streaming means listening to music over the Internet in real time. In other words, the music file is held online and is sent via the Internet, to a compatible device, as you are listening to it (and it therefore requires a permanent Internet connection). Apple's streaming service is Apple Music, but it is not for purchased music, it's only for the Apple Music Subscription Service. This means that the app for Android (Apple Music for Android) will not meet your needs.
If I've understood your post correctly, it looks to me as though you have purchased music and it is already on your computer. That music (that you have purchased), even from the iTunes Store, can be listened to on an Android phone, by copying the music files from your computer, to the phone. One method for this is simply to connect the phone to your computer and copy the music files onto the phone.