[Lovebirds]

Well, there is not a band on his/her leg (but there is one on mine HAHHA). I'm not in the UK, just here in the good old USA.

I've put water and bread out for it, but I really need to get it off the balcony. The problem is it tries to fly out, and whammo - it hits the plexiglass around the balcony. He really doesn't understand glass.

Should I try to push it out with a broom? I promise to be gentle. I don't want to hurt it, but I really can't have it staying there.

Thanks in advance for all your help.

Take away the water and bread. If it can't be there, you don't want to feed it or it might stay OR come back.
You can try shooing it away with a broom. Might help if you get low, down on his terms so that he will fly UP instead of straight. Maybe he's just confused about how to get off of the balconey.