Do you need a house or pet sitter? I have done some of this for friends and enjoy it.
Until a couple months ago, I fostered, then was owned by, a senior cat that had long-term health concerns (he came to me that way). I have friends who own mastiffs, rottweilers, and other large dog breeds and spoiled kitties - and I've cared for them all. I grew up with small dogs like chihauhuas and dachshunds and a couple kitties - all had long lives. I'm comfortable with walks, feeding, quirks, timid animals, and some health concerns (special pills, food, etc are no issue).
Warning - I do travel often for work, but do have a somewhat flexible schedule that I typically know well in advance. I know January/February are typically slow months, so I'll more than likely be available then. Give me a shout and we'll see what we can do.