I have a new S22 Ultra but I still use my S9+ and S10+ concurrently in wifi mode for work, the S22 Ultra is only a little bit bigger to hold than the S9+ and a bit heavier, not by much though, I regularly use all 3 phones in full book cover style cases with rubber enclosures, which make them even bigger, but still just fine for me.
My S22 Ultra case itself is actually responsible for some increased bulk due to having some multiple wallet compartments, I'll probably get a slimmer case at some point. Just holding both the S9+ and S22 Ultra to compare them right now, if you can use a S9+, you should be fine with a S22 Ultra as well, but it is a bit bigger.
Loving the pen on mine, been using art packages and colouring in black and white manga pages for fun, also got the free Samsung wireless earbuds yesterday, working really well, adds a lot of value to the whole package, but I'm not sure if they're running the free earbuds promo right now.