There are many OSM apps, results may vary a lot. For search and adresses, Magic Earth might be your best choice. They also integrate some open data sources to improve address search, and there’s some live traffic data. Of course, if the road data is simply wrong, there’s little to be done about that. But some fixes are easy enough to do yourself without previous experience, or you can just drop a map Note on OpenStreetMap.org describing the issue and someone will fix it for you. OpenStreetMap in the US doesn’t have the same level of detail as in Europe, but it is evolving quickly. So even if it is not perfect now, don’t give up on it forever.

Which apps do you use use? What exactly is crap about biking? What general area or country (so I can have a look to see if it is a data issue)?