If it's not a really large cat house I should think a couple of 100 watt light bulbs would suffice. Since cats, especially feral cats, are nocturnal the light wouldn't bother them. It would stimulate them to sleep since most cats sleep when it is light out during the day.
Stray cats may come to your house for food, shelter, or a sense of safety. They may also be attracted to your property if you have outdoor food sources or if they sense other cats in the area.
stray cats were stray cats...but since they were afraid of dogs...I think that you must have one
A stray cat may keep coming to your house because it is seeking food, shelter, or companionship. Cats are known to be drawn to places where they can find these basic needs met.
A stray cat may keep meowing at your door because it is seeking food, shelter, or attention. Cats are known to be vocal animals and may meow to communicate their needs or desires.
A stray cat may keep visiting your cat because it is seeking companionship, food, or shelter. Cats are social animals and may be drawn to your cat's territory for various reasons.
keep it or turn it in to a shelter
A stray cat may keep coming to your door because it is seeking food, shelter, or attention. Cats are known to be curious and may be drawn to your home if they sense warmth, food, or a friendly presence.
Bring him/her to the vet.
A stray cat may be following you because it is seeking food, shelter, or companionship. Cats are known to be curious and may be drawn to your presence for various reasons. It is important to approach the situation with caution and consider the cat's needs before deciding how to interact with it.
If your feeding the stray cat then its more then likely to keep coming thereso IF you are feeding it Stop don't throw scraps out that your cats wont eatand take notice of how much your cats eat their food from the tin and the box and thisis cause if they leave a little in the bowl then the stray cat can just come alongand start eating out of it and if you have a female cat that's not done so it canthave kittens then its possible that the stray cat is a male that's not done andis looking for food,home,hugs,pats,kisses and female cats that you might have.IF THIS WASN'T THE ANSWER YOU WANTED SORRY I COULDN'T HELP.Call a shelter!
A stray cat may follow you and meow because it is seeking food, shelter, or attention. It may also be lost or looking for companionship.
maybe,moth balls might work too