I visited the Polish side in autumn when few other visitors were around. Enjoyed long hikes in the forest examining flora and fauna. The varity of fungi that I found on rotting trees was amazing. Wandered off the track at one point and found myself on the Belarus border. Not good as I didn't have a visa.
Saw a range of animals in a reserve, including deer, bison, lynx and wolves.
I travelled by bus to Bialowieza from Vilnius, changing buses in Bialystok.