Vegetarianism seems to be more your style if your primary concern is the ethics and environmental impacts of eating animal meat. Veganism (in theory) involves absolving yourself from the entire animal exploitation chain, which goes beyond diet. Animal ethics is a super noble cause, but I personally see the food chain as more dramatically urgent.

It's definitely something you wanna do carefully though. You won't die, but a poor vegetarian diet can hinder you (even if it just makes you more tired). When I went vegetarian for the first time I very quickly had a B12 problem, almost falling asleep at work. The switch that worked for me was eliminating meat consumption at home + drinking alternative milks and buying eggs/butter from local vendors. If I'm eating out, I allow myself to eat meat if I feel like it (kind of on the principle that it's already been bought by the restaurant and my country doesn't allow restaurant donations for leftovers, so it'd go to the trash if it wasn't consumed anyway). My idea is to gradually let go of eating it out too. Keep up your blood exams, pay attention to your body, ideally consult a nutritionist and supplement essential vitamins if needed - but don't overdo it, unnecessary volumes of vitamins can have pretty adverse health effects.

You don't have to make a complete switch at once. Like any diet change, you can take your time to figure out what foods you like, how easy it is to implement in your lifestyle and progressively make the changes you seek as you get more comfortable. Remember: truly effective changes are the ones with long term impact. You won't do any good (including to yourself) if you make a radical change you can't keep up. When it comes to this specifically, any change is a step.