There isn't much to add onto what Shezz said other than you can do this by yourself if your Chinese is good enough. All the documents are in Chinese. I have a 外资公司 here in Hangzhou. Important things to keep in mind. Depending on the type of business you are opening, you are required to write down your initial investment and then provide that money in an account. They freeze it and then they release it afterwards. I've heard some don't require it, some do. There can also be minimum investment amounts required.
When doing the paperwork, you will be required to have management and accountant set up already and their documents will be required when applying. In order to pay taxes, you have to have a company account. So you'd take your business license to the bank, open a company account, from that account your 财务 would pay the taxes. You need the Chinese stamps in order for them to do it. We have the 公司章，法人章，财务章，发票章。These are enough for us but others might need more. They are required to do it monthly, and you are required to have an accountant to do it, so be sure you are ready to pay this monthly expense.
Never let your account have both the FaRen Zhang法人章 and the CaiWu Zhang财务章...you do that and tomorrow your company is theirs!