I also think your curls are great as they are. I had a perm when I was very young, and it was a nightmare.. I had damaged crazy curly, unnatural looking hair. If it wasn't wet it was a frizzy mess. I agree with the pp who said that perms are for straight hair not curly. I think you could work with the curl you have and try to get it to look more like your wanting it and get better results.
What is your current routine?