That's brilliant for a first attmept!
Are you planning to make a two-ply, balanced yarn with it? Or are you wanting to use it as a single? If the former, once you've got it plied, it won't unravel because it will be balanced. If you want to keep it as a single, either leave it as a a cop until the energy leaves it (about a week should do it), or skein it straight away and wash it to set the twist. In either case, I put a half-hitch in the end of the yarn, which keeps the end tidy. Or some people use a bit of sellotape.