Just don't share spit in food or between animals.
I think the bigger risk for a bird would be a scratch, cat bite or shared food/water from a cat (or contact with poop). If your cat is licking you etc, wash up before allowing the bird to come into contact with that area--- birds lick everything too, so you don't want them to lick where the cat was licking.
If you put lotion on, wash hands before touching the bird (I am guessing you probably wash your hands in the morning before touching the bird anyway, as you would likely use the bathroom etc). You don't want anything transferring to their feathers and you don't want them licking chemicals off of you, but in moderation and with common sense, you will be fine I'm sure. If you are worried about it on your arms etc, I would say that the risk would be fairly small the next day, as most of it would have absorbed. It going to have to be a judgement call on your part, depending on the type of lotion you are using, its contents and how heavily scented it is.
For instance, I unknowingly put on a scented hand sanitizer, and it left a watermelon smell on my hands, so even though they were "clean" in terms of bacteria, I still washed them thoroughly before touching the bird (due to the scent factor/chemicals etc). That is why I try to get most things as unscented as possible.
You want to be careful, but you also don't need to panic completely. My bird once grabbed a used dog toy. This was not healthy for her, but she survived it lol. You just have to do your best
Now- personal opinion:
I
personally wouldn't make a habit of allowing by bird to walk around where my cat had been just because cats can transmit parasites and bacteria (via saliva and fecal matter) . If they use a litter box and then get all over counters and furniture, that is unsettling to me in general...but I am not sure how to avoid that with cats, unless yours are not allowed to walk all over everything. I know they try not to touch their own poop, but microbes are too small for a cat to avoid lol...so it makes me uneasy (even as a human).
https://www.spalding-labs.com/commu...e-home-keeping-cats-off-kitchen-counters.aspx