One of the things that you can do to investigate your psychic nature is to begin recording your dreams. The dream time is the place where your subconscious does housekeeping of the things that are concerning you during the day. Also, it's a place where you work on problems and find solutions to those problems.
However, the dream time is also an ideal place for you to dabble in things psychic. There are any number of things that you can do, but the most important thing is that you be able to remember your dreams. Not just a hazy rememberence, but a full blown write it down right after you wake up situation.
It won't take you that long to get into the habit of recording your dreams. Start today. Then, when things are comfortable for you and you're writing down one and two and three dreams each morning you can begin to work on getting lucid and practicing your psychic skills.