1) Used BMX bike off craigslist with PVC pipe rod racks on the front handle bars. Fishing tackle in a small backback.
2) Mountain bike with a rear rack to support tackle bag and PVC pipe rod rack attached.

Both would go go over curbs and grass pretty easily.

Simple mountain bike. No need for suspension, just something with gears. Go get yourself a trailer that attaches to the bike. www.nashbar.com. They have cargo trailers that are good for doing this. This enable you to carry as little or as much as you want.

My son and did this quite a bit at my brothers place. My trailer would fit a 40 quart ice chest, tackle bags, and had rod holders. One benifet of a trailer is that it is much easier to handle than having the gear strapped on the bike.

As for rigging a rack on the back of the bike......

We did not like that method. With rods on the back of the bike, it is not quite as easy getting off and on the bike.

The bike becomes too heavy when you are not on it. More than likely it will not stand on its kick stand. So now you are laying the bike on its side when you stop. Now your gear is on its side. Remember the rods, how do you handle them it�s the bike laid over?

Maybe try a backpack for tackle and mount one or two rods on the bike. If you get serious, then go full on with a trailer.