Join Date: Aug 2006
Location: Central Coast, CA
Bikes: Surly LHT, Specialized Rockhopper, Nashbar Touring (old), Specialized Stumpjumper (older), Nishiki Tourer (model unknown)
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The CrazyGuyOnABike site has journals organized by routes, equipment, etc. and one of the choices is tours with kids.
On a 4-week tour down the west coast I averaged 55 miles per day. On a cross country trip there will be lots of stretches without nearly as many hills, or as tall, so I'd guess your average will be higher, although pulling a trailer with your daughter may slow you down.
For me, $30 per day works pretty well if I don't stay in motels - just hiker/biker campsites. If you're going to be staying in motels your average will go up considerably. KOA's are more than hiker/bikers, although splitting the cost between two people would make your per-person cost go down. Then there's the cost of your transportation to and from your starting and ending points.
Think about putting some money into the budget for repairs. On my long tour I didn't start out with a very good set of wheels. I ended up having to stop at many, many bike shops to get spokes replaced on my rear wheel. On my next tour I went to a bike shop beforehand and had a good craftsman handbuild me a strong rear wheel. It cost over $200, but nothing broke. I'm sure I spent around that on my previous tour, not to mention all the time spent waiting in bike shops.
Make sure your racks are bolted on with Loctite. I've had them vibrate out before. I carry a couple of extra bolts, just in case.
For my upcoming tour this summer (Seattle to eastern Montana via the Northern Tier) I'm going to start by having my technician check over my rear wheel and rebuild whatever needs it. Then I'm going to carry some spare spokes and a cassette remover so I can replace my own spokes if they break.