I used to love to skate on my inlines as a pre-teen and a teenager. I haven't skated for years (other than ice skating with the family at Christmas time).
You just described me last year and now skating has become part of my identity. It took a couple of months after I first took DS skating to really get into it but I don't think I'll ever look back. And what's great about it is that I can do it with DS as family time, alone as me time and with my new skating friends as adult social time.
The kind of skates you buy will depend on the skating you want to do. When I started I concentrated on cheapness and bought bargain skates. Tbh, that's fine for a kid but as an adult, especially if you are 35+ you need to be mindful that you are strapping wheels to your feet, so you want good equipment. To start a pair of recreation/fitness inline skates are probably a good idea. They'd have 4 70-80mm wheels. I'm in love with Powerslide brand skates, as the trinity frame they use makes the skate easier to glide on rougher ground and they are very responsive. Powerslide Phuzion skates would probably suit you really well. But if you know you'd love to do a lot of distances, an endurance skate with 3 100mm wheels is a good investment. Using rec skates for the distances I was doing was starting to hurt my knees. Now I use the rec skates when out with DS and the endurance when I'm alone or with friends. And my ancient old inlines from my teens have new wheels and bearings and are good for slalom as they have tiny wheels, which suits me as I'm very short.
If you want to skate with your kids, the Senhai brand that they sell in Smyths are a genuinely decent skate for children and adjustable sized, which means they'll get a few years from them.
And whatever you do. Think of safety. I never skate without wearing wrist, elbow and knee pads. If I'm outdoors I always wear a helmet. In very hot weather I'll use a bike helmet for inline skating but for everything else, I use a skate helmet as it offers better protection for the back of the head. For DS, I allow him to skate in the rink without protection as it has a sprung wooden floor. For outdoors or the indoor skatepark, he wears all the same safety gear that I do. Lastly, always carry water. Skating is intensive cardio and muscle building, for anything other than a little glide around you neighbourhood, you need to stay hydrated. If you want to do long skates, a jogging vest with either pouch bottles or a hydration pack is really, really handy as you don't notice you are carrying it and it's easy to take sips of water whenever you need it.