There is no "easy" way. Even with a jack hammer it can be hard depending on how it is installed.
If you want to do it by hand (chisel and hammer) see: http://floorstransformed.com/repairtile.html The tile usually comes up problem free. Its the thinset mortar that is so hard to come up.
Instead you might wish to install some hardibacker or concrete backerboard over your floor with thinset mortar and install tile over that. See: http://www.usgcorp.com/diycb/diycb2.htm
© 2017 Renovate Your World LLC