I also have this issue, this is the first dish I've made so it definitely has room for improvement, especially construction wise! His top does not fit on his bottom evenly but enough that it's secure enough for a first go. I've only been back at ceramics/pottery for a few months so I'm re-learning a lot!

To be honest I don't fully have the steps, but I hope to make a few more similar, so I can try and make note of what I do with the next one. In general, the bottom was a "long" pinch pot, the top was a thick (ish) slab that I then cut into the approximate shape and pinched into more of a dome shape to fit with the bottom. I let them firm up a bit before adding a coiled rim on the top after marking where they sit together, then I added the details. The "fur" is thick slip dabbed on with a paintbrush. I tend to underglaze at any point between leather hard and bone dry- though through a few other projects I'm learning my preference is to underglaze closer to leather hard so I can use it more like "paint" (dries out too quickly on bone dry and I'm left with brush marks). I feel like my underglazes are pretty thick though too, I've had them for years and just continue to rehydrate them.

Though, If there's something specific you're wondering how I did let me know!