I hope you have success finding homes for all of the kittens. Your vet will be able to help you on when to give them their first vaccinations (6-8wks) and when to start worming them (from 2 wks). she will come on heat again as soon as the kittens are weaned so desex her straight after that. Perhaps your vet would also do a deal with you so you can sell the kittens with a desexing voucher or something of the sort. Always sell kittens - don't give them away. Then they have a value attached and are less likely to be a throw away item. I hate to say it but giveaway kittens can also attract people with other motives (especially if they are unvaccinated, unwormed and therefore suitable as a food source IYKWIM). HTH