Oh I LOVE moloka'i.
I wish I lived there, but I decided I didn't want to add to the population growth of the island before it ends up like oahu, like BookGodess said, a concrete jungle!
First time I went there was for a field research trip for school, and I fell in love with it. Nothing open after 5, no 7-elevens, no wal-marts.
While I was there the biggest front page news in the newspaper was someone's tools have gotten stolen from the back of their truck again!
I was also informed today by a health plan I was consulting there is more midwives there.
Anyways, for your Q, here some advice I can give you: Outside, be careful of scorpions and centipedes, mostly if you are watering your yard and your baby boy is keeping you company. If you have a Lanai, screen it in really well. That way you get the outdoor breeze without the worry of something biting your boy.
You can get bitten from mosquitoes, flies, fleas, ants, lice, centipedes, beetles, roaches, and spiders. It doesn't happen often, and they are not fatal, just very painful. I have heard as most things it can be a higher risk to young ones.
If you have pets, keep an eye out for ticks and fleas. Always check their ears and between their paws.
Cockcaroaches, if you don't have them where you live, be prepared. The best way is to make sure you have no dirty dishers, food, food crumbs or pet food out for the night. wipe and clean anything off before you go to bed and you should have a relatively roach-free house, depending on your area and neighbors

Also caulk any holes where centipeded and scorpions may get in from, we had to do it when we moved in, the baby ones where getting in.
Don't worry about the geckos, they do more good than harm. they eat cockaroaches and spiders and can be a welcome sight seeing them crawling around.
One good thing, NO SNAKES! there is no snakes on in the Islands. That's one thing I always ave to adjust to when I visit family in Panama. I am so used to walking around freely here, I go to Panama and forget to watch out for snakes.
If you want to hang out outside with your boy, you can always lay out a big white or bright blanket you can see if anything is crawling your way.
OK sorry post sooo long, I hope that helps a little