I presume you are referring to a batch of beer that is fermenting. The easiest way to bottle them is to save commercial beer bottles, the pop top variety, not the twist offs, and buy bottling caps and a hand capping tool. You'll need to wash the bottles and sanitize them using Iodophor or Star San. Sanitize your bottle caps too.
Bottle caps usually come in bags of 144 at your LHBS. A two-handed manual capper is maybe $15.
But to answer your question, yes. You can bottle in champagne bottles. Standard bottle caps fit most champagne bottles.