You can try magnetic bug screens for door. They allow a person to go through, and close magnetically behind someone. Could lower your mosquito problem even more. Something like this. Note that I have never used this exact one.
I said bidet in another comment, but if you are looking for some other suggestions.
Bidet by far. <$60 USD, easy to set up, and my goodness have I never looked back. I do a lot of home improvement (and garden work) and every time I use the bidet I think, “this may be the best purchase I ever made”.
Thanks for this list! Lots of new things to me that I can explore tonight!!