Ask an Immigration Solicitor. Get an Answer ASAP.
Yes, as an EU national, you may simply fly to London and start working. You may also rent a flat in London.
Once you are here, you may apply to the EU Settlement Scheme. There is no application fee: https://www.gov.uk/settled-status-eu-citizens-families/applying-for-settled-status
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Sorry, I am unable to call. But there is nothing from an immigration point.
You would need to get a national insurance number if you don't have one and you may need to register with HMRC for tax purposes if you are self employed.