A pocket cube can be solved with the same methods as a 3x3x3 Rubik's cube, simply by treating it as a 3x3x3 with solved (invisible) centers and edges. More advanced methods combine multiple steps and require more algorithms. These algorithms designed for solving a 2×2×2 cube are often significantly shorter and faster than the algorithms one would use for solving a 3×3×3 cube.
The Ortega method, also called the Varasano method, is an intermediate method. First a face is built (but the pieces may be permuted incorrectly), then the last layer is oriented (OLL) and lastly both layers are permuted (PBL). The Ortega method requires a total of 12 algorithms.
The CLL method first builds a layer (with correct permutation) and then solves the second layer in one step by using one of 42 algorithms. A more advanced version of CLL is the TCLL Method also known as Twisty CLL. One layer is built with correct permutation similarly to normal CLL, however one corner piece can be incorrectly oriented. The rest of the cube is solved, and the incorrect corner orientated in one step. There are 83 cases for TCLL. Algorithms have been generated for solving all of them.
The most advanced method is the EG method. It also starts by building a layer (in any permutation), but then solves the rest of the puzzle in one step. It requires knowing 128 algorithms, 42 of which are the CLL algorithms.
Like every cubing method, ortega takes some time to master. One must be patient and consistent to learn it properly. Once you finish learning the steps, it's quite important to make sure that you revise the algorithms on a daily basis until they get embedded into your muscle memory.
You should focus on new things to learn, in order to maximize improvement. I recommend learning OLL and PLL first, followed by F2L, and leaving the cross improvements for later. It will probably take a few days to properly memorize all of the algorithms. Memorizing too much at once will make you forget them, so try to avoid overlearning.
Practice is absolutely key for speedsolving. It's a lot easier to become knowledgeable about algorithms and concepts than it is to actually become fast at solving the cube. I know people who know many algorithms and take over 1 minute, as well as people who are sub-30 seconds with the beginner method because of how much they practice.
During the resurgence in speedcubing's popularity in the late '90s and early 2000s, there was a general lack of information on the sport. Fridrich's website offered a vast wealth of information for those entering the sport, including a full description of CFOP with complete lists of algorithms. As a result, many who learned from her website began to call this method the "Fridrich Method." 2b1af7f3a8