How long can we stay in our home before the sale or after the sale?

If you refuse to move out after the sale, the lender has to file an unlawful detainer suit to have you removed. Unlawful detainer is a summary proceeding, so it may take only 30 days or so. However, the smarter thing is to negotiate a move-out date with the lender in exchange for the lender paying your moving expenses or other sum of money. Lenders are often willing to do this in order to save the time and expense of suing to get you out of the property.

You have six months to repay the amount bid by the bank at the sale, then one additional to move after that.

Sheriffs generally don't sell houses, trustees do. You can stay until they evict you. You should have tried a short sale.

The short answer is that you are allowed to remain in your home until you are evicted by the sheriff. The eviction, however, should not be confused with the foreclosure sale. From your question, is sounds like the foreclosure is taking place on June 13, 2013, not the eviction. The lender has to first foreclose on the property, and then it has to file an unlawful detainer lawsuit to get you out. The eviction process can take 30-60 days. In my experience, the lender will often contact you and offer you money to move out earlier. If they don't, you can always make them an offer. The lenders want to regain possession of the house as quickly as possible.