- If you're only interested for health reasons; no. You're good enough with eating meat once a week. Vegetarianism (ovo-lacteo and vegan) is healthier but, IMO, it is overdoing it.
- If you care about the ethical aspect; yes.
I've been vegan since 2011 for ethical reasons. I've got perfect health and I feel I've made the correct choice, but I can't say it has been easy. I usually don't even hint at it on the internet, since it is prone to attract either the easily offended meat eaters or the militant high-horse vegans and they will attract their opposite either way.
That said, go vegan.
P.D: I'm biased.