As others have said, when you are getting started, the best way is to buy a starter set that includes a rocket or two, and a launch pad and launch controller. And while you are at the store, buy a couple packs of motors, some extra igniters, and some ejection wadding. For motors, look at the packaging for the starter set or rocket kit, and it will tell you the recommended motors. Start with the one they say is right for the first flight.
Don’t start out trying to improvise with things like using TP instead of wadding (you will start a fire), making your own launch pads and launch controllers (probably not going to work well), or using fuses or anything else other than factory igniters or a real launch controller to light the motors (not safe and probably illegal). Doing it right will teach you what you are dealing with and give you some experience you can use in the future if you want to branch out.
If you do eventually get into experimental motors, I can almost guarantee you that parks and schools are not going to give you permission to fly them there. Getting permission to fly ordinary commercial kits and motors is hard enough. If you ask permission to fly a homemade sugar motor, you probably won’t get it. Homemade motors might be fun and maybe affordable, but you are probably restricted to Tripoli research launches if you want to do it legally. Or if you own your own large rural property, you might get away with it there. Just don’t burn the place down or frag yourself with shrapnel — it gives the hobby a bad name!