In general a contingent offer will be much better received if your current home is already in contract. Your position grows stronger the further along that transaction is, especially once your buyers have cleared all contingencies.
A retainer agreement is an arrangement where clients make an upfront payment to secure legal services, regardless of the case's outcome. In contrast to contingency fees, where the lawyer takes on financial risk, clients in retainer agreements are responsible for associated costs, including the initial upfront payment.
Contingent contracts usually occur when negotiating parties fail to reach an agreement. The contract is characterized as "contingent" because the terms are not final and are based on certain events or conditions occurring. A contingent contract can also be viewed as protection against a future change of plans.
A "contingent contract is a contract to do or not to do something, if some event, collateral to such contract, does or does not happen.
Contingency clauses help parties find common ground when they have divergent future expectations. However, they come with complexities and potential drawbacks, such as increased administrative overhead and the need for careful negotiation and drafting.