Shaving

So, I'm a young teen girl and I shave my legs, right? And you need shaving gel/cream for that as well. The only thing I have is coconut oil, and it clogs the drain so my parents don't like me using it. I asked my mom for shaving gel and she said no and that you're supposed to start off with soap -.- How does that even make sense? I went on a health website and it said to absolutely not use soap. Also, she gets me these 10 pack $3 disposable razors that I keep cutting myself with. I should probably add really quick that the coconut oil is giving me leg acne. Is it worth it to get a good quality one and just replace the blades? I've done some research and I found a good cheap one with good reviews. I was happy so I went to check the refills and- HOLD UP. It was like $22. Noooope. No way I'll be allowed to get that. My parents are all about cheap. Is it really worth the money to get a good quality blade? Thanks for any advice ^^