You might find this thread useful. It gives a comprehensive blurb on each of the 'big 4' (most popular speedsolving methods), all of which are fine choices to progress to from the beginner's method.
Another resource you may also find useful is this index for 3x3 methods on the speedsolving wiki. Be warned some of these may be less viable methods or more experimental than others.
Another resource you may also find useful is this index for 3x3 methods on the speedsolving wiki. Be warned some of these may be less viable methods or more experimental than others.