Such a coincidence, but that's exactly the type of equipment I see at every thrift store. Only thing that's missing is a hometrainer.
If you need to move, fold the bench and take the weights with you. You can choose to do the same with the row machine, or just throw it out if you went budget at around $100. If you really used the stuff over a year or two, throwing it all out when you move is not a big deal since you got all the value out of it. It doesn't have to be a massive investment into a home gym.