How do I cut bamboo flooring with only a hand miter saw and a circular saw available?
Generally, when you put in a floor, all the edges you cut yourself are covered by molding, so that the flooring can expand and contract. If that's the case, then your cuts don't have to be perfect.

I wouldn't, however, want to do it with a handsaw. Bamboo is very hard and it will take a long time to cut.

In most places you can rent miter saws for a small amount per day. That will be far easier than doing it by hand.