I have suffered with all of the above. I have balance problems. I finally went to a rollator. The solves my balance problems, lets me sit down when I get tired, and also lets me exercise. I still walk my dog, and we go from 1 to 2 miles a day.

Everytime I stand and start to walk I make sure that I'm ready to go start slow then walk as normal as I can always thinking to myself heel to toe

Good article on dizziness and Parkinson’s https://www.parkinson.org/Understanding-Parkins...
But dizziness can be related to inner ear problems. For me, I had dizziness (vertigo) 5 years before Parkinsons and was related to inner ear problems diagnosed as Meniere's disease, a condition that causes vertigo, tinnitus (ringing in the ears) and hearing loss. I had an inner ear infusion treatment at Shea Ear Clinic in Memphis TN followed by meds for 1 year. My ear symptoms decreased until my diagnosis of PD, ringing in ears increased to both ears, and more hearing loss. Though my vertigo remained minimal, only occurs occasionally. But the ear ringing is constant, 24/7! An irritating nuisance. Sounds like a tea kettle when the water gets hot, but the whistling noise never stops.

My mother is often dizzy or unsteady. She has thankfully only fallen once. PT helped her some. The physical therapists showed her exercises to improve her balance. She is learning to stop and wait a second when her foot freezes instead of forcing it. We have a mat and grab bar in her shower, plus she sits in a shower chair. She tends to be dizzy more in the morning so I take care of feeding her dogs and getting her breakfast to her while she sits.