I was veggie for years but have moved to vegan this year.
As PP have said, I focused originally on the health aspects, slowly becoming more informed on the welfare standards.
With regard eggs, I have found a couple of excellent replacements for baking and scrambled/omelettes. Sadly however 'high' the welfare standards of egg laying hens, the male chicks are still disposed of within a day or two of hatching out as they are essentially worthless, so I couldn't continue buying eggs. If we had our own laying chickens, or neighbours did, I wold have considered that as an option, but I've gone beyond the craving stage now and don't miss it (or cheese, which is huge for me!).
Also as PP have said, I'll call my diet plant based, the term vegan seems to trigger a lot of people.
Also remember not to judge others' choices; the downfall of many a vegan it seems, and the reason for their bad rep. If people ask me, I will explain, go into as much detail as they want about what I have seen, experienced and been taught about the meat/dairy industries. Essentially it is everyone's choice what they put into their body from a health and morality point of view.
And I totally agree - Oatly milk is amazing, as is their range of cream and creme fraiche! Hazelnut milk is a real treat on cereal, too!
I have my B vitamins, iron, potassium and Vit D levels checked every 10 weeks due to a health condition, and am well withing healthy level for all, so as long as you have a varied and balanced diet, you'll be fine.