Here is what I claim is an exhaustive list of the ways that an individual may gain new knowledge:
- Revelation: some form of information that comes directly from a supernatural source. The Bible allegedly produced by revelation.
- Testimony: information that comes from another human (or more generally, another mind that is part of the natural world). Anything you are taught in school falls into this category, as does actual testimony in a trial and also the Bible, because the Bible is testimony about someone else's revelation (and also the implied testimony of the many copyist and translators that the current English form as come to us through, that they copied or translated accurately).
- Perception: information that comes to you through your own senses. This includes what you see with your own eyes, not what anyone told you they saw. If someone tells you what they saw, it is testimony.
- Intuition: information that is produced by your mind internally, without direct action of the senses and without a process of reasoning. This would include, for example, your knowledge that two parallel lines never intersect, or that if you add another plate, you are going to also need another knife, fork and spoon.
- Deduction: information that you derive by necessity from things you already know. For example, if Every human is mortal, and Socrates is a human, then Socrates if mortal.
- Induction: all other information that is arrived at by reasoning.
That's it. How do I know this list is exhaustive? Because knowledge comes to you either directly, from your own faculties or indirectly, from someone else. If that someone else is natural, then it's testimony, otherwise it's revelation. If knowledge comes from your own faculties, then it either involves the senses, in which case it is perception, or it doesn't. If it doesn't involve the senses, then it is either the result of a process of reasoning or it isn't. If not, then it's intuition. If it involves a process of reasoning, then the reasoning is either based on necessity or it isn't. If it is, then it's deduction, otherwise it's induction.
There are four primary forms of induction that have been discussed in philosophy (in order of age): Inference from the particular to the universal (Socrates), inference to the best explanation (Bacon), the scientific method (Newton), and probability (Bayes).
Some would claim that inference to the best explanation is part of the scientific method and by modern lights, maybe it is, but Newton's scientific method was significantly different from Bacon's speculations on the topic.
So, where do faith and skepticism fit in? In the broadest sense, faith and skepticism are opposites. Do you have faith in your intuitions about geometry or are you skeptical of them? Do you have faith in the people who wrote, copied, and translated the Bible or are you skeptical of them?
In modern philosophy, faith typically applies to revelation and to testimony about revelation, while skepticism applies to perception, intuition, and induction. Probably this because the default position on revelation is skepticism while the default position on perception, intuition, and induction is faith.
In any cases, of the three things you mentioned, only one is a way of acquiring knowledge. The other two are evaluations of the sources of knowledge.