I am assuming that you have seen our generic moving guide – https://www.britishinaustria.net/the-guide/moving-to-from-austria/moving-from-the-uk-to-austria/
In my case I moved before Brexit but used Britannia Bearsby who are based in Kent (close enough to London) and were able to get a partial load – https://bearsbys.com/moving-abroad/. I also used UPS via Parcel2Go for shipping around 30 boxes. Would recommend looking at a BAR member – https://bar.co.uk/moving-to-another-country/ BUT my experience was that they all shut down over July and August and only start up in September. There are a few posts in our Facebook group on this topic (search for “moving”) – https://www.facebook.com/groups/BritishAustria
