The functions you are most probably going to want to use are :
LOCATE(substr,str), LOCATE(substr,str,pos)
POSITION(substr IN str) is a synonym for LOCATE(substr,str)
SUBSTRING(str,pos), SUBSTRING(str FROM pos), SUBSTRING(str,pos,len), SUBSTRING(str FROM pos FOR len)
SUBSTRING_INDEX(str,delim,count)
LENGTH(str)