Nedda Gilbert, MSW, Educational Consultant, and Author
I agree with the answer provided by the Noodle employee above. My additional two cents would be this: I'm pretty sure that your statement of "I am tired of my school" is code for something else. You need to identify what that is for yourself or you may repeat the same experience or have the same issue at the new school. There is that saying, your problems travel with you. Or likewise- you take yourself with you wherever you go. It's important to understand why you want to leave the current school. Understanding WHY you want to leave will help you clarify what you are looking for in the new place.
Of course, a new school does offer a fresh start. Is this what you hope for? Again, why? Or perhaps the new school offers a different and better environment for you. If you think this is the case, before switching to the new school, make sure you have done your research and truly understand the culture of the other school. Is it truly right for you?
Leaving a problem behind can seem like a good fix. But doing this by switching schools is complicated and risky. As the Noodle employee stated above, you can't just decide to matriculate at any public school you like. Typically, you must prove residency and live in the district. You could try to sneak in and use your cousin's address as your own. Many a student tries this and is often found out. It won't be pleasant. Likewise, choosing and applying to a private school is a formal and lengthy process - you can't just jump in for a semester or two. You have to apply - be accepted - pay, etc. Private school is not the place for a try-it-and-see-if-you-like-it semester.
Of greater concern is that you would be giving up the sport of cheer. If this was a permanent move and you knew it was likely the new school would offer you what you want/needed, perhaps this would be a reasonable trade-off. But it seems a big risk to take, and an awful lot to forgo, just to "try" out a new school. If you return to the original school, you now return to one less support system or enjoyable activity (btw, I am assuming you are in junior high or high school with a boyfriend and cheer.)
Finally, it's important your high school years and transcript reflect as steady a four years as possible. If you plan on applying to college, you will have to explain why you went to that new school, or switched back again. Depending on your reasons, this may hurt you when you apply to college. High school can be a very challenging time. Even a difficult time. Before switching schools, or temporarily attending another, try speaking to a concerned adult or your guidance counselor about what's going. There may be other options for you to pursue - like even taking some local community college classes for high school credit. I hope the above helps you explore a range of options. Best of luck with whatever you decide.