My heartfelt sympathies to you and yours...people who have pets understand that losing a pet IS losing a member of the family. You care for/are cared for by said pet...and both invest time, energy, and love into one another.
People without pets just don't get it.
I agree with FeatherDaemon's sentiment...getting a new pet is definitely helpful...just not until you are ready and it feels right.
Grieve however you need to grieve...this is a loss, and should be mourned as such.
Again, my deepest sympathies for your loss.