This is a situation that affects a large proportion of home sellers and there are several points to consider:
1. You could put your house on the market and as soon as we get an offer that works for you, we could go and find your new house. That is the simplest of the choices, but it puts pressure on you to find a house in a short amount of time and the right house for you might not be on the market at that moment.
2. We could find you the right house for you to buy and make an offer on it contingent on the sale of your existing house. That is really good for you, but some sellers won’t accept a contingent offer and this makes your negotiating position weaker.
3. We could put your house on the market, sell it and you could move into temporary housing if we don’t find the perfect house...