Cello damage and the costs to repair it?

You can get a new tailpiece with fine tuner set for as little as $25 or less. That's only a practice one. I think replacement fine tuners are around $6-$10 each with a wooden tailpiece. You can spend more on a fancy tailpiece, but you will probably find that the existing tailpiece is not a problem, just replace the faulty fine tuners.

If the bridge has fallen over you need to check that the soundpost is still in place. The soundpost stands up between the front and back faces of the cello, if you release the tension and the soundpost is not very well fitted it can simply fall over. There will be an obvious noise of wood rolling around inside if it's fallen. You need a specialist tool to stand it back up, and a specialist to place it well. If it has not fallen over, be very careful of shaking the cello around.

You will be looking at about $150 to $400 for a set of strings. Steel Dominant or Jargar strings would be fine. Dominant start at less than $150 for a set (http://www.buystring.com/docest.html).

Getting an instrument "set" by a specialist is not really something that's easily quantifiable. In Australia you will have various amounts of hubris spread by instrument repairers. Some will say they need to take it apart, spend weeks 'getting a feel' of the instrument and charge hundreds or thousands of dollars for the 'privilege' (if they get to it). Others will just put it together for a small cost of a couple hundred dollars + parts.

How much work needs to be done will vary on the condition of the cello. If there are sections that need to be re-glued, peg holes that need to be re-cut, or serious structural issues it's not easy to say how much it's going to cost. If you were in Sydney, I would say just go and see Harry Vatiliotis and he will do a fair price and a good job. I'm not sure where you are or what sort of instrument maker/repairers there are in your area. Talk to some and see whether they can give you an indication of what they intend to do exactly, and how much that would cost approximately.

You should be able to go into a shop, buy a set of strings and what fine tuners you think need replacing, and ask them to install it there for you. That at least keeps the cost to around the $150 mark, and they can point out what more needs to be done.

They cost $3,214.