Mechanical Engineer seeking advice to move to London

Hi my name is Kellan. Next spring I graduate from Kansas State University with a degree in Mechanical Engineering. I was wondering if anyone had any advice for someone seeking employment in England. I studied abroad my sophomore year at the University of Hertfordshire in Hatfield and wish I had never come back. I studied in Hatfield for just under 6 months so I did not have to get a student visa. I have heard from talking to people who've made the move that my best options are to either pursue a masters degree in England or land a job with a firm with offices in England and transfer within the company. I have been actively researching companies with offices in both countries and I'm open to doing a masters in England but I don't think I can afford it. As an engineer I have experience working in the MEP field, but would be interested in any ME job in England. I would prefer London because of familiarity (also massive Spurs fan, COYS), but as I know this isn't exactly an easy process and that options are limited I would be open to anywhere in the UK. Any advice is appreciated as well as any potential contacts, all I want to do is move back to England. Thanks in advance for any help or advice.