f{char} - move to the next occurrence of {char} to the right of the cursor on the same line
F{char} - move to the next occurrence of {char} to the left of the cursor on the same line
t{char} - move to the left of the next occurrence of {char} to the right of the cursor on the same line
T{char} - move to the right of next occurrence of {char} to the left of the cursor on the same line
Jump forward / backward between the 'results' via ; and ,.
Further you can search for whole words via /<searchterm>Enter.
* - move to the next occurrence of the word under the cursor
# - move to the previous occurrence of the word under the cursor
/searchtermEnter brings you to next match (forward-search). If you use ? instead of /, searching goes backwards.
Jump between the matches via n (next) and N (previous).
To view/edit your previous searches, type / and hit the up arrow key.
Helpful are also these settings: (note :se is equal to :set)
:se hls HighLightSearch, highlights all search matches; use :noh for temporarily turning off the search/mark highlighting (:set noh or :set nohls turns off.):se is or :set incs turns Incremental Search on, cursor jumps to the next match automatically. (:se nois turns off.):se ic IgnoreCase, turns case sensitivity off. (:se noic turns on again.):se scs SmartCaSe, can be used when IgnoreCase is set; makes case (in)sensitivity smart! e.g. /the will search for the, The, ThE, etc. while /The only will look for The.