I am working with PIC16F84 chips.  I was wondering what the best way was to compare a file register to a number and to compare a file register to another file register.  This is what I have come up with.  Could someone please check the validity of the following statements?

Compare a file register to a number.  For example to compare COUNT to the number 12.

movf     COUNT,w
sublw   d'12'

                             
COUNT < 12    , if   C flag <> Z flag
COUNT = 12    , if   Z flag = 1
COUNT <= 12  , if   C flag = 1
COUNT > 12    , if   C flag = 0
COUNT >= 12  , if   C flag = Z flag                  

What is the best way to check [C flag <> Z Flag] and [C flag =  Z Flag] 

Compare two file registers to each other.  For example to compare COUNT1 to COUNT2.

movf     COUNT1,w
subwf   COUNT2,w

COUNT1 <   COUNT2 ,if  C flag <> Z flag
COUNT1 =   COUNT2 ,if  Z flag = 1
COUNT1 <= COUNT2 ,if  C flag = 1
COUNT1 >   COUNT2 ,if  C flag = 0
COUNT1 >= COUNT2 ,if  C flag = Z flag

Any help would be greatly appreciated.  Thank You.