A lot of people I've seen change jobs did so because they had offers in hand before lockdown hit. And there are companies and organisations that are still hirin

A lot of people I've seen change jobs did so because they had offers in hand before lockdown hit. And there are companies and organisations that are still hiring: you just need to be sure that you're stepping onto a firm footing in your new position. If you're moving into a position with the government or an NGO you're probably as safe as you are anywhere, but I probably wouldn't be taking a position as a web developer for (say) a fast fashion retailer right now, or anything at all in the entertainment and hospitality sectors outside the BBC, Netflix, etc. Still, unless it's really dreadful where you are, I'd stay put.