Logically it would be possible to keep your furred family member, I have two parrots myself and these feathered babies are very high maintenance, there's no way I'll give them up, they're my feathered kids! Anyways, considering your current pet is a smaller dog, it shouldn't be too much of a problem, there's some hotels and the like that are pet friendly, it's easier to find furred family friendly hotels if your pet is small. Would imagine that caring for them post-surgery will be harder, but so will everything you'll need to do post surgery, least while ya healing. It also couldn't hurt to ask friends ahead of time if they'd be willing to help you care for your Pomeranian post surgery or even see if someone's up for pet sitting for you if you're worried about bringing the little one along for the ride. Upkeep for a Pom isn't as expensive as some pets, be glad you don't have an exotic right now or else it'd be a major worry, but a Pom's needs don't cost a whole lot, if you're careful with budgeting then keeping your furred friend shouldn't be too much of an issue at all, it may mean saving a little extra if you want a comfort cushion to be sure the little one is taken care of, but it's certainly doable in most cases. If she's that important to you then you can find a way, it's all in figuring out the details and how things correspond in your unique situation and going from there.