As a young, single, and ambitious woman myself, I almost applied for a skilled worker visa, because I had the qualifying points, but didn't because of the expense, and no guarantee of the visa or a job. What I am doing instead is getting a MA degree in England, in hopes of extending into a post study work visa, so I'll have some ins to actually getting a job and staying over there. And if that doesn't work out, I'm sure my MA will help me get a job if I come back home. Unless you all can get corporate type jobs where the company will sponsor your work visa, I do think you have quite a mountain ahead just trying to move and find a job.
Best of luck though!