Suzhou downtown (Inside the 4 canals) : no bike allowed... been living there for 2 years and go to work with my bike without problem

Suzhou SIP I think that bike outside of Suzhou are actually not allowed... been riding there for 1 year (+ the 2 to go through to go to work) without any pb.
Not too sure about Kunshan though

Suzhou HD Shop can handle your big bore bikes
Also have a side car there with a guy that love's what he's doing so no worries

You can move without any fear in mind.

Real estate agents that are Foreign owned are bloody expensive but you can checkout to have an idea about the type of flats available:
www.jrecorporate.cn/suzhou
info@joyhomechina.com

Try to check out the chinese websites, better deals (google translate is your friend)

Any question, do not hesitate to drop me an email