It sounds like a nice product, but sadly it's not exactly why GA is so popular (being a 'nice' product, that is). It is popular, because it's free, relatively easy to implement on any website, requires no self-hosting and powerful, once running. I've checked your website for pricing, but not only there's no word about free tiers, but there isn't even anything on the pricing at all. So, when it comes to majority of GA…
Nothing is “free”. You are selling Google your visitor’s data so that they can let you take a peek at a subset of what they collect.
Can we stop with this nitpicking? You’re not paying any money, so it’s “free”. That Google analyses your data is another story: it could do it whether you’re paying or not.