Deciding that you didn't want to confine your mother to the life of a dog, even if she wouldn't know anything had happened, and you weren't too keen on living the life of a stranger just yet, if only because you didn't know how much the remote would do for you in terms of learning about the life you'd swapped into. Swapping with inanimate objects, while a neat idea, was probably something better done in a controlled environment, where you could fix something if things went awry, and not something to be done on a whim out on the street.
That left you with one option; the squirrel. At a surface glance, it didn't seem all too much of a change going from a dog to a squirrel, but there was one major benefit; freedom. As Princess, you were confined to your neighbour's yard, unless she decided to take you out for a walk. As a squirrel, you could go just about anywhere, and so long as you didn't try to sneak inside a building or something, people probably wouldn't bat an eye. Not only did you not have to deal with the responsibilities of a human, at least until you swapped lives again, but it would let you find all sorts of targets to swap with without people giving you weird looks for staring at them or something.
With your decision made, you point at the squirrel, and the same familiar screens pop up. As you did last time, you drag the Life option over, and the images of yourself and squirrel swap places. You were about to say confirm, but another thought hits you. Maybe you could swap something else with the squirrel while you were here? Aside from a collar, Princess didn't have any clothes, or really any possessions besides dog toys, so swapping things like ownership or personal details wouldn't really give you anything, but physical swaps could. After swapping with two different animals, you were admittedly a bit curious about what it felt like to have a tail. There was another way for you to use a swap, though. Your neighbour had only just moved in, so unless she was planning on getting rid of her dog, Princess would presumably be sitting here for the long run. If you swapped bodies with the squirrel, your own body would stay here as a dog, ready for you to take back whenever you wanted, while you were free to go and do whatever swaps you wanted without losing track of where your body parts were. You just hoped being in the body of a squirrel in the meantime wouldn't cause any problems.