Hi there, just underwent my own surgery for a larger tumor (ca. 2.8cm) a few weeks ago. From what I heard at the hospital, it very much depends on how much your balance nerve has already been damaged how you then end up feeling immediately after your surgery. They might do all kinds of tests to establish all that before the surgery - my nerve turned out to be barely working anymore, which turned out to be a blessing in disguise. The first few days post-surgery were rough, of course, but I was never as dizzy as I expected to be. I was super exhausted and vomited a few times, but I believe that was a side-effect of the anaesthetics wearing off, plus the morphine.
Also, the only way to get your brain to adjust, it seems, is indeed physical exercise. So they will try and drag you out of bed soon after surgery - a physical therapist showed up on day 3 in the morning, I believe, and I was given a walker, plus a comfy chair to sit on so I wouldn't be tempted to stay in bed all day. less than 1 month post-surgery and at home now, I do feel that I'm getting a little bit more energy back every day, plus my balance has massively improved. I was in a terrible state right before - very dizzy all the time, bouts of vertigo, unsteady on my feet, even managed to fall down the stairs a few days before the operation. Feel so much better than that already, the vertigo I felt if I tilted my head the wrong way is completely gone now, for instance. Plus I'm going for daily walks (6,000-8,000 steps) with the help of a walking stick, but feel like I might soon do without one. Also, managing light housework again, which was impossible for me just in January as I was so fatigued all the time.
I will be seeing a physical therapist regularly for a while now so I can stay motivated with the vestibular exercises I'm supposed to do. Personally, I'm so glad this surgery is finally behind me - they managed to get nearly the entire tumor out, and life finally is looking better again. All the best to you on your own journey!