I have to say that don't always trust your own "I feel better" type feelings when it comes to things like how you perceive your health, especially in the short term after diet changes like this. Of course if you've eaten like shit as a meat/dairy-eating person and veganism pushes you to eat more veggies, that can easily be the case. But the thing is, placebo is a hell of a drug, so you can perceive being "more healthy" even if in the long term you might be missing something essential (and since a lot of health benefits are more of a long-term thing rather than short-term, that can be bad). If you plan to become vegan for good, you should occasionally do check-ups at the doctors to see that you are for sure getting enough of everything.
This applies to anyone making big, long-term changes to their diets (not just veganism), especially if it's about leaving some "essential" stuff out of your diet like meat & dairy that have some essential stuff you need to make certain you are proficiently replacing in your diet with something else that isn't necessarily already a part of your regular eating habits (of course if you are just adding more variety, more veggies & other plant products, and for sure adding all kinds of other necessary stuff into your diet, then you are probably going to a better direction and don't need to worry too much)..
I mean, veganism is possibly the most healthy alternative when done right (there's a long term study where vegans were, on average, the healthiest bunch of people, who on average lived the longest, were generally at best health and had the least of all kinds of cancers, heart diseases & other kinds of shit). Still, it's easy to omit some stuff from your diet that you should be getting, which can have effects in the long term even if in the short term you are feeling better.