In my garden? We were almost overun with them earlier this year, and there are stilfl - gladly - a good number about. Timmed off some branches of spring/summer flowering things and had to tap them carefully near the flower beds so as not to put ladybirds in the council garden bin. I am in the east Midlands, and can only speak for our garden, but they are plentiful here.
Adam, not quite as East as you, Nottinghamshire, so more midlands probably. Tidying up is indeed death for ladybirds, a few dead leaves and dry logs with ferns and things give them somewhere to live over winter. All of our garden was completely overun with them in Spring, more than an overwintering few I thought. It was so hard not to kill some by accident, the Spring clean up got delayed - whih turned out to be a good thing as at least they oould shelter from the ridicuous amount of rain e then had. Rarely cut much back in autumn as I am sure it is not only ladybirds that shelter in leaves, hedges and so on. Of course there are also slugs, but they would be under ground as well so not point worrying about them sheltering.