Read the border crossing thread for info on crossing with a DWI. There are four crossing spots in your region to Canada, but the Whirlpool street bridge is Nexus (trusted traveller) only and you can't use it if you are not part of the program. Avoid crossing at the Falls (Rainbow Bridge).
Either the Peace Bridge or the Queenston/Lewiston crossing are fine. I prefer the Queenton/Lewiston because it is freeway to freeway and bypasses downtown Buffalo New York. See this link for more info:
Niagara Falls Bridge Commission