I would look at trading in. If you are going to do it in a couple months anyway you might as well do it now than sink more money into it. If you are going to try and sell it yourself or if you think that you will have to keep it for a couple months than get some used tires that will make it safe again. I couldn't imagine the nightmare of something happening because I didn't take care of my wife's car especially when a baby is involved.

Safety first on this one.