Answer
I’d rather catch the bowling ball when it is given the same momentum as the baseball.
Work Step by Step
Kinetic energy can be written in terms of the momentum.
$$KE=\frac{1}{2}mv^2=\frac{(mv)^2}{2m}=\frac{p^2}{2m}$$
We see that for equal momentum-objects, the larger-mass object carries less kinetic energy.
In other words, if a baseball and a bowling ball are given the same momentum, the bowling ball carries much less energy, and so it is much easier to bring it to rest.
