Once the breeding areas have been gotten rid of you need to keep other skeeters from flying into your yard. The safest and most effective way that I have discovered is spraying around entrance doors, the patio and play area with Listerine. Yes, Listerine, the mouthwash. Last summer I wrote an article about it and how I discovered it and I planned on linking you to it. However, in one of my redesigns I deleted the page and apparently did not save a copy or at least not in a place where I can find it. So, I will give a brief overview.
I received a forwarded email a few years ago that claimed if you spray Listerine outside around doors (avoid directly spraying on woodwork) and around areas like your patio and swing set the mosquitos will stay away. I tried it without telling my skeptical husband and he noticed the difference. You do need to repeat about once a week or so or after a rain, but it does work. Although I do not notice the mosquitos fly immediately away, like the email claimed but I do notice they do leave and do not come back if I keep it sprayed. I have used a generic brand and it works just as well and either are much cheaper than using bug spray (for the same coverage) and I don't worry about my kids or pets breathing in a little mouthwash. As far as I know it hasn't caused any of the scary side effects that deet (a chemical in many commercial mosquito sprays) does.
If you still get bit before you scratch and tear the skin open, wet the bite and sprinkle with salt and let dry then brush off. As long as the skin is not open it will not hurt or sting. Or apply a baking soda paste to the bite and let dry. These will help draw the venom out and therefore reduce the itching. For bee stings applying a baking soda paste or tenderizing salt (applied like regular salt as described for mosquito bites) will help draw out the venom and speed healing times.