You can get a student loan to do a conversion master's degree so don't let that put you off.*
I would consider your options carefully though. If you want to do psychology because you want to do a professional doctorate like clinical, counselling or educational psychology, I would just hesitate first. Doing a psychology undergraduate degree just to do that is like doing your driving test with the aim of becoming a formula one driver. The professional doctorates are ridiculously competitive and I know people who've spent a lot of years chasing them and being underpaid in jobs to try and get in and still get nowhere. I know two people who've got into clinical psychology; one of them was a psychiatric nurse first and the other had been very well organised from the time she was in nappies about doing it.*
I generally tend to tell people if they want to get the job satisfaction of helping people with psychological health needs, go into psychiatric nursing, counselling, speech and language therapy, occupational therapy and so forth. The top rate of pay is not dissimilar and it's a good platform to move into any of the professional doctorates later if you still want to. It's a more direct route to getting the experience you need whilst not being unqualified to do much else if you don't get onto the doctorate, which you often are if you do the psychology undergraduate route.*
If, however, you're wanting to do research don't worry too much about your undergraduate degree for now. If you're interested in psychology by all means study it but bear in mind that the social sciences are a broad field. I know someone who did a philosophy degree at Cambridge and who found his way onto a neuroscience PhD. Granted, yes, it was from Cambridge but he's just someone I know. I also know that there are many people working at the top of their fields in neuroscience and psychology who don't actually have undergraduate degrees in the subject. They're there because of their research interests. The psychology course on my current degree was taught by someone without a degree in it, come to think of it. She was a medical doctor. I've read psychology papers written by people with degrees in sociology, education etc. or coauthored at the very least. The boundaries are quite flexible in the social and psychological sciences.*
And if you do decide you want to do a conversion course in psychology, a decent master's programme will give you the opportunity to research what you want and use that as a platform for a PhD anyway. On my psychology course there were people who didn't even need to convert but they wanted to study in that area. Decent courses like Manchester, Sussex, Glasgow and one or two more I'm forgetting are good master's degrees in their own right as well as conversion degrees. * Study your primary area of interest now, be that sociology or psychology. You've got options.*