As much equity as possible as fast as possible

My wife and I were about to list our house in a month but some personal things came up in our lives that we need as much money as we can get as fast as possible. We can’t use the money we have saved for a down payment since that is locked into a special account through my retirement that only gets disbursed when we go under contract. We have approximately $160k in equity in our house and was thinking of one of the ways to take equity out, but we do t want it to hurt our chances of approval when we do decide to buy which will be in about a year. Was wondering best way to take money out of the house whether through heloc refi or home equity loan?