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You should change the water regularly and I recommend you use distilled water for your plant.
These links will refresh you on the care requirements.

https://www.gardeningknowhow.com/houseplants/lucky-bamboo/growing-lucky-bamboo-indoor.htm

https://www.gardeningknowhow.com/houseplants/lucky-bamboo/lucky-bamboo-rotting.htm

Yes, it seems like it would be impossible or at least very difficult to transport 35-foot stalks to a distant location. If there are any shorter stalks available in the stand, use those.

The reason you were advised not to cut the stalks is because once cut, that same stalk will never grow back. However, if the main stalk is cut at a few feet off the ground, the same root ball can most likely put up additional shoots over the course of a few years after transplanting (assuming the root ball is not damaged). So this is another option, though it might not look as good for the first few years.

https://www.gardeningknowhow.com/ornamental/foliage/bamboo/transplanting-bamboo.htm

The culprit could be a type of scale insects, especially mealybugs. See these articles for identification and advice:

http://ipm.ucanr.edu/PMG/GARDEN/PLANTS/INVERT/mealybugs.html
https://www.gardeningknowhow.com/plant-problems/pests/insects/mealybugs-control.htm
https://www.gardeningknowhow.com/ornamental/foliage/bamboo/bamboo-with-brown-tips.htm
https://www.gardeningknowhow.com/plant-problems/pests/insects/control-plant-scale.htm

Here's what mealybugs look like up close:
http://mrec.ifas.ufl.edu/lso/mealybugs.htm

Diesel will permanently damage the soil where the bamboo are growing and may cause runoff problems, so that is not advisable. Instead, using a herbicide and/or mecahnically removing the bamboo is a much better option.

The bamboo is probably growing from underground rhizomes (spreading roots). A combination of digging up the rhizomes at the bottom of each plant, repeatedly applying glyphosate herbicides to each plant that reemerges, and repeatedly mowing down the plants that emerge will allow you to get rid of them. These articles will help:
http://www.clemson.edu/extension/hgic/pests/weeds/hgic2320.html
http://www.bamboo.org/GeneralInfoPages/ControllingBamboo.html
https://www.gardeningknowhow.com/ornamental/foliage/bamboo/kill-bamboo.htm

Many bamboos look similar unless you look closely. This site will help you identify your bamboo:
http://bamboo-identification.co.uk/html/common_genera.html

A decline in health could indicate disease, pests or a need to divide and transplant the Bamboo.

Here is a link to refresh you on the care requirements.
https://www.gardeningknowhow.com/ornamental/foliage/bamboo/growing-bamboo-in-pots.htm