Could I have the brakes changed?
I think you have a misconception about disc brakes. You may have heard that (hydraulic especially) disc brakes allow better modulation, which does allow for increased braking control, but if you yank the levers hard, they provide instant, full power braking.

Properly set up V-brakes can provide sufficient modulation to be controllable. Your evidently offer enough power to stop quickly.

Practicing emergency stops on grass is probably a good idea so you have more control of the bike under hard braking.