Although Negative has given you the "best quality" method.. (using the S-video )
S-video cables can be quite expensive and of course you may not have s-video inputs
on your TV.. some video cards also have RCA outputs.. and your TV will usually have
RCA inputs. If it doesn't.. you could get an RF modulator but this will further degrade
your signal..

imo, money spent on a decent monitor for your computer.. is money well spent indeed