Check out 8th Light in London. They hire through a paid apprenticeship program and hire from very diverse backgrounds, already have some from similar circumstances.
Assuming you’re not already a citizen or a lawful permanent resident, your best routes to investigate would be an H-1B petition (now is a good time to talk to US employers about this) or working for a multinational company like this one for a minimum of 12 months, then petitioning for an L-1B visa.
You’d be able to visit the US office whilst working for the U.K. entity by getting a B-1 visa and that’ll let you evaluate if you want to spend several years living in the US.