I like karaoke. I'm not a very good singer, but it is fun to sing. Sometimes I go to karaoke by myself (一人で). I don't think that it's embarassing.
Have you ever tried Wankara (ワンカラ)? Wankara is a mix of the words "One" and "Karaoke".
At normal karaoke, you have a party room. But at Wankara you have a small room. It looks like a recording studio. The activity is the same as normal karaoke, but it feels more special (特別).
Other people can't hear you because the walls are soundproof (防音). You can only hear with your headphones. This means you don't feel self-conscious (自意識).
If you like singing or karaoke, I recommend Wankara. It can be good practice. You can also buy a CD of your songs.
But how does it sound? I made a video of my singing. The song is called "When a Man Loves a Woman". You can only hear my voice.
I'm sorry! It was very bad!