On the mixing end, you can learn quite a bit by selecting the preset channel strip settings in Logic (in your vocal channel strip, select Setting, then Voice, then select one of the choices). You will end up with a bunch of vocal-related plug-ins (eg eq, compression, etc) in the channel strip. Check out what is being done to your recorded vocal with these, and play with the settings.
On the recording end, if you google "recording vocals" or similar you will find a ton of useful info online (blogs, magazine articles, forums, etc) regarding microphones, mic usage, room treatments, hardware pretreatment (like mic preamps, compressors, eq, etc). Plenty of free stuff, no need to buy.
BUT start with the best microphone and interface (with great mic preamp(s) that you can afford. And get a windscreen. You gotta get a good rich clean audio recording before you even think about plug-ins and mixing. Can't stress this enough....
Have fun!