If you arrive in the UK through the Ukraine Sponsorship Scheme or the Ukraine Family Scheme, you can work in the UK without restrictions. Below is a selection of useful resources to help you look for jobs in the UK and remotely.
Remote Ukraine - Job board for remote working opportunities for Ukrainians
Ukrainian Institute/United for Ukraine - Volunteer-maintained listing of jobs for Ukrainians arriving in the UK
Job Aid Ukraine - Volunteer-maintained listing of jobs for Ukrainians in the EU and the UK
Volunteer-maintained platform listing jobs for Ukrainians
Indeed - UK commercial job board
Reed - UK commercial job board
UK government's job finding service