'Easier' is a very imprecise term - a servo requires just one I/O pin, and no hardware at all, and it's easy to program from a PIC. A stepper require 4 I/O lines, plus external hardware to drive the stepper motor, it's programming requirements are also easy - probably about the same as a servo.
Personally I would consider that makes a servo easier - and it's certainly likely to be for this project - much easier mechanically.
I should get hold of a servo to play with k7michal, all they need is a variable width pulse and they move to a position represented by that pulse, so they give you accurate positioning - a stepper has much less power (for it's size), and if it misses a step you've no idea where it is afterwards.