You are a lucky bunch - haven't seen mention of ring-necked parakeets (unless I missed it).
They are gradually dominating my (London N1) yard, emptying the squirrel-proof feeders before the great tits (who have nested here for decades) get a look-in, whilst shitting all over the patio.
I first saw one here 5 or 6 years ago. They are now here, usually in pairs, every day. I also hear them in the trees of every park, small or large, all over London.
If you don't have them in your garden yet, you will soon. The population is rocketing and spreading UK-wide.
I would volunteer if a cull were proposed.