The short answer
Say which animals you take, price each visit type separately, and state your limits plainly. Then give cat sitting a page of its own, because it is a large search in its own right and the owners searching it are not looking for a dog walker.
Be specific about what you take
"All pets welcome" tells an owner nothing and costs you the search. A cat owner types cat sitter. A rabbit owner types rabbit boarding or small animal sitter and is usually surprised anyone offers it.
List them: cats, dogs, rabbits, guinea pigs, hamsters, birds, chickens, fish, reptiles, whichever of those you genuinely do. Then say what you do not take, which is just as useful. Nobody is offended by a sitter who says they do not handle snakes.
Give cat sitting its own page
For most sitters this is the biggest single source of work. Cat owners going away for a week need twice-daily visits, they book repeatedly, and they search locally for exactly that phrase.
The page should cover what a cat visit includes, feeding and fresh water, litter tray, play and fuss, medication if simple, curtains, lights and post, and the photo report. It should say how many visits a day you recommend and why, what you do about a nervous cat who hides for the first three visits, and how long you sit with them.
Price it per visit with the second cat rate stated, and link straight to the meet-and-greet booking.
Dogs are a different service, not a bigger cat
Dogs mostly cannot be left with two short visits a day, so a dog page is really about walks, longer visits, overnight stays and house sitting. Say which of those you offer and what the maximum time alone is that you are willing to accept, because that number is where you and the owner most often disagree.
Add the practical answers: whether you walk dogs together or solo, how many at once, what happens in bad weather, whether you drive them anywhere and how they travel, and how you handle a reactive dog.
If you also take dogs into your own home, that is a different arrangement again and in many countries a licensed one. Keep it on its own page and say what licence you hold.
Small animals deserve a real page too
Rabbits, guinea pigs, chickens and fish are almost always an afterthought on sitting websites, which is exactly why a proper page for them wins bookings. There is very little competition for it locally.
Say what a small animal visit covers: feeding, water bottles or bowls checked, hutch or cage cleaning, run time and predator checks for outdoor rabbits, egg collection for chickens, and whether you can manage a pond or a tank. Price it as its own visit type, because the work and the duration are not a cat visit.
State your limits before the meet-and-greet
Limits are not a weakness on the page. They read as competence, and they filter the enquiries you would have turned down anyway.
Say what you need to know about first: aggression or bite history, a dog you cannot safely lift, a cat who has to be medicated by injection, a reptile needing heat and humidity management you are not trained for, animals you are allergic to, and whether you take a household with more than a certain number of animals.
Say that the meet-and-greet is where any of it gets settled, and that either side can decide it is not a fit.
Structure it as pages, not as a paragraph
One page per animal type, each with its own title, its own price rows and its own booking button, all linked from a short services index. That is what lets each of them turn up in the right search, and it lets an owner read only the page that concerns them.
Repeat the shared information in a line and link it rather than rewriting it. Prices, insurance, vetting and key handling live in one place each.
Say it again in the intake form
The animal types you accept should match what your booking flow offers. If the website says chickens and the form only lists cats and dogs, the owner assumes you no longer do it.
Keep the two in step, and use pet species and count as fields on the profile in Time To Pet, Pet Sitter Plus, Scout or Precise Petcare so your own records are consistent too.
Where this sits
Saying which animals you take, pricing each visit type and giving cat sitting its own page is part of how we build a pet sitting website, and the same service-page pattern runs through the other pet business websites we make. Packages are on pricing. Be specific, and the right owners find you.