A babygoth (or babybat, minigoth, kindergoth) is simply someone who is new to Goth. (Note: being a babygoth is different to being a mallgoth, just as being a newb is different than being a n00b.) Some babygoths may have had an older, more established Goth 'mentor' guiding them over the surprising number of pitfalls in Goth social etiquette. Some may have found their own feet in this massive subculture. And the rest of you? Well, there's always the internet...
It's also very important to listen to what you like. Listening to bands just because they are popular is slightly silly, as is snubbing a band for 'not being Goth enough'. Stay open-minded and check out new things. If you can't afford to buy new CDs, there are many online radio stations that play Goth music. Try Cathedral 13, Radio Ghoul School and Digital Gunfire for starters.
Be respectful towards other Goths. There's no need to bow and scrape, but don't hurl abuse at someone for pointing out that My Chemical Romance is not a Goth band. Also, admittedly, there is a fair amount of snarking in the Goth scene (many Goths have a sharp wit and equally sharp tongue), but being rude is not a way to make people think you are 'elite'. This includes conversations online.
Also, if you spot someone else dressed in Goth-style clothing on the street, do acknowledge them. If you or they are in a hurry, a nod and a smile is fine; otherwise you could compliment them on their clothing or ask about local events. Talking to people in the scene is a great way to learn more about the culture (and the many nuances of Goth social ettiquette), plus it's always nice to acknowledge/be acknowledged by a fellow 'freak'. And if the person turns out to be a mallgoth or fellow babybat, you can always name-drop a Goth band and nudge them onto the right track.
Be confident. Being new to the subculture could make you a target - I have never seen this happen at a club or event, but some online forums can get downright catty, when people with a serious case of Gothier Than Thou Syndrome decide to be unpleasant to newer Gothlings. Ignore these people, hold your head high and move on. This type of person is probably insecure about their own 'Goth cred' and is trying to make themselves look good. Thankfully, these people are usually only found online because they are 'too cool' to go out to events. The scene is dead, after all... *sigh*
If there's something you don't know about a band or a bit of music history, there's no need to pretend that you do. Someone will probably be happy to gain some extra Goth points by enlightening you.
On that note, learn as much as you can about Goth culture. The net is always a good place to learn - try Goth.net for starters. Yes, it's a forum, but the people there are friendlier than most and you can read through previous topics to bash up on your knowledge. Another great site is Gothic Charm School (and there's a book!), one of my personal favourites.
There are also many books about Goth culture - if you're on a budget, some of these may be available at your local library. My recommendations are: Gothic Charm School: The Essential Guide for Goths and Those Who Love Them by Jillian Venters; What Is Goth? by Voltaire (also a wonderful Goth musician) and The Goth Bible by Nancy Kilpatrick.
You may also like to dress the part. The fashion aspect of Goth is relative to each person's taste; if you like to dress in baggy bondage pants and Crow make-up then go ahead and wear it with pride. Just be warned that people may think you are a mallgoth - but if you're happy, who cares? Heaven knows, I haven't given up my bondage pants!
Imitating the style and make-up of Goth music artists that you admire is a good starting point. Just remember that whether it be a rat's-nest of hair like Mad Bob Smith (The Cure) or a tightly cinched corset like JoHanna from The Cruxshadows, be classy and pay attention to detail. Lazily applied make-up and a badly-fitting corset are Goth fashion sins, my dear. Also, be careful not to overdo the make-up (at least to begin with - practise makes perfect, as they say). There are many ways of having dark, elegantly spooky make-up without looking OTT.
You don't have to buy your clothes from specialist Goth shops either. Try eBay, charity or thrift shops, vintage shops and mainstream stores to create your own unique style.
You can also buy dark-themed magazines such as Gothic Beauty, Spider's Web Zine and Unscene Magazine - the pictures provide great inspiration and there are wonderful articles and tutorials to keep you entertained whilst expanding your knowledge.
It isn't necessary to tell anyone that will listen that you're Goth, or proclaim how Goth you are. Nor do you need to go to the other extreme and constantly deny your Gothiness. If someone asks, answer honestly. Otherwise, it's a little annoying. Acting depressed, sad or angry all the time? Also unnecessary!
The most important thing is to have fun! Impressing other Goths is nowhere near as important as being yourself.
Listening to: Children of the Night - Bak VIII