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I'd delay any purchases until you're able to try some on, and test them on a wall. And do it once you've warmed up, and your toes are toasty! Find something that's comfortable, closely fitted and makes you want to climb.
Made a terrible error many moons ago trying shoes with cold feet... and 4 weeks later replacing them with a size up.
As for recommendations: everyone finds what they love - it very much boils down to a personal preference in the end. For instance, I love muiras. despite the laces. despite the hard rubber. the folks I climb with all swear by Dragons despite wearing through them in weeks.
If you can get to a climbing wall tomorrow (or wait until they reopen) I would do that, most of them have a decent range of shoes, and Vauxwall let me try some on yesterday. You need to really try a few different brands and see what fits the shape of your foot, would say thats a better tactic than picking one model in various sizes. Plus you support local climbing walls (which will have to shut again for a month...)