Depends on how great the tremors are.

Some cameras have sensor shift in body stabilization (IBIS), where it moves the sensor to compensate for shakes. I shoot an old Pentax k30 that has it.

Also a larger heavier camera could help dampen tremors?

On the camera you used, modern colour film is pretty "slow", in that it has a low sensitivity (usually iso 100-400), so requires the shutter to be open longer. Digital will let you use a higher sensitivity, thus a faster shutter speed, so there's less time for movement to affect the photo.