The first place to start is to purchase a violin, if you have not already... You can't start playing music without an instrument ;p
That said, I will give you some of the advice that I gave in this question:
What is takes to play any music seriously is a drive and passion for
playing music. Unless you are a prodigy, long hours of effort and
practice are required... and perhaps, a certain thickness of skin in
the instances in which you will inevitably be frustrated, burn-out, be
negatively criticized, experience pain/injury, etc
I hazard answering this with a question but... what do you want to get
out of it? If you are simply looking to recite your favorite songs,
practicing those songs until you can replay them may be all that's
required... If you are looking to write original music, some level of
creativity and knowledge of music theory may be required. I say 'may
be' because you can possibly write music without these
skills/qualities but, you and others may not be so happy with the
final results...
That said, it's going to be very difficult for you to practice anything without learning the basics... And if you have no spare time, then teaching yourself is going to be highly improbable, if not completely impossible... which means you will need lessons of some sort.
You mention you have a family, if you have children, and they show any interest in playing music (specifically violin since it will be very difficult to take a simultaneous lesson for two separate instruments,) then I would suggest that you and your child(ren) begin learning how to play together. It is always feasible to learn new things but, you will have to set aside some time in order to do so. Taking lessons together will teach you and your child(ren) a new skill and it will also give you an opportunity for quality time together.
I'd argue (based on my opinion) that learning new things is never a waste of time... But, again, it depends on your level of determination and what you expect to get out of your learning experience... You can't get discouraged easily (like if your child progresses faster than you or if you can't play Paganini after a single month of lessons.)