Logo Design for new Dog Walking & Pet Service Business

Hi there. This is for my mother's new business project. She's look for a logo design that can be used on: new website, local business cards and larger Vinyl for her Van.

The company is called 'Not Just Dog Walking'. The service she will offer is dog walking as well as other pet services. However for the logo she would just like 'Home Visits' and 'Pets to Vets' called out.

We ran simple idea through AI, but this is not what she is after, so please don't use for basis - i.e. she does not want a block background... but she was just trying to throw whats in her head at it. However it is useful for colour pallet, as would like Darker Green and Dark Grey (note the Van is Silver, have added a pic for reference) so would want to look good against that, and the wording is what she wants included.

Just some other context, she lives quite remote countryside of Sussex. Although dogs will be the bread and butter of the business, she will offer pet servies for dogs, cats, birds, parrots, rabbits, etc.

Hopefully you can help with some more modern design but in-keeping with the type of business. She's not looking for too much going on or pics of dogs, etc. Something a bit slicker.