When I was a kid my friends and I just carried our rods in one hand while controlling the bike with the other hand. I still see people — children and adults — doing the same thing today, but there are fancier options available: special mounts for carrying your fishing pole on your bike hands free, and collapsible “fishing pen” rods that you can carry in a backpack.
Daniel Canfield in Boise, Idaho gives a rundown of some available options. There’s a Bike Fisherman fishing pole bicycle mount, the Mini Pen fishing rod, the Coleman Fish Pen, and other similar products.
A fishing rod not mentioned by Canfield are child fishing rods. When my daughter outgrew her short Disney Princess fishing rod it’s a short enough rod that I used it for bike trips to the lake a few times. Child rods are cheap but they’re also very portable.
Read more here at Examiner.com.
Edit: See also Noah’s post with his practical experience shopping for fishing gear that works well with cycling.