I know how you feel. I lost my beloved Tater Marie (basset) of 13 years this past January. I really missed her this Christmas. It will be one year on the 31st. I also lost 3 relatives between Thanksgiving and Christmas the same year.
Find comfort in the goofy memories and enjoy your new fur babies. I think Tater would be happy to know I rescued Tink from a local shelter and life in a cage or worse. We save the ones we can. she had a wonderful happy life, no regrets. We just feel so sorry for ourselves, don't we! She will always be missed but not forgotten.