Operators License, hire vehicle & trailer, no yard

If you’re looking to do things small scale, a dedicated truck stop can be an Operating Centre, with documentation held at a registered (home) address.

But I’d suggest you get some proper advice from a willing TM, probably wise to do an OLAT course too (Operator Licence Awareness Training) so you have a better idea of what you’re letting yourself in for, because there’s trickier things than simply finding an OC, like finding a TM, applying for the O-licence, demonstrating the Financial Standing - you’d need “access” to a known source of £8000 for one vehicle on a Standard National O-licence, even if it’s “just” a 7.5 tonner and even when it’s “just” hired.