I agree with the previous answer and get the documents out and see what your rights really are. You should not be put out or at risk without some consideration. In similar situations we have put the costs at a college kid or two for a day and a security guard to watch over unsecured property and a bond to cover possible damages. Then the group demanding access found another way around the access, by pulling wires through the wall at a lower cost.
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I'd start by looking at your condo docs that you received when you purchased the condo. I suspect there is a clause is there allowing the management company reasonable access for maintenance purposes. What constitutes reasonable may be outlined in your condo docs, but if not, then it's up to you and the company to negotiate fair terms. I would think sufficient notice would be reasonable, but I don't think they'd view reimbursement for a temp. off-site storage facility or time spent making the space available as reasonable.
One thing that may make a difference, too, is whether the storage locker is considered "part of your unit" or a limited common element assigned to your unit. If the former, the association should be handling this in a manner similar to when they need access to your actual unit. The Declaration for your condo would be where you'd figure this out.
Bottom line, though, is that if they need access and provide reasonable notice and you refuse to do it voluntarily, they probably do have the right to break in, move your stuff, do the work, and then assess your unit for all costs involved in dealing with your "non compliance." So don't let this issue go without getting some kind of agreement in place (or just do what they are asking) or you risk those costs being added to your inconvenience.
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