your family should be a really happy time, with the pet getting lots of attention. He, as well as you, deserves to feel good about it.
Thus, do not try to “replace” the pet you miss as soon as possible, in the mistaken belief that it will help you get over the loss faster. Give it the time it needs. For some people, that’s weeks. For others, it’s months—or longer.
Sometimes, someone who loses a beloved dog feels, “I’m not sure I can go through this again.” That’s perfectly understandable, and if the feeling lasts, you should respect it. Keep in mind, too, that no dog can truly replace another. They all have wonderful attributes that make you fall in love with them, and those attributes may overlap, but the package as a whole is going to be different from one dog to another.