There's excess vegetation in my back yard that I can get rid of, but I'll never be able to get rid of all the water. It's not standing water, but it's so shaded and naturally damp back there due to water underground that it's still a good breeding ground for them.

What are the rules for throwing away yard waste? I have a bunch of twigs and stuff I need to get rid of, are the trash guys supposed to pick those up if i put them out? And do they have to be put in special bags (in some towns you have to put them in paper bags and/or put them out on certain days).

You can bundle limbs and twigs as long as they are cut to 4' or less. Tie them with strong twine or duct tape. The trash guys will pick them up every trash day. The maximum number of items is 10 and under 40 lbs. There are many who don't follow the rules and you can probably get away with a few more if it's just once or twice.

Throw em a couple bucks and they'll pretty much take anything.

I did that when I was remodeling my house. Now I get the shakedown everytime I put out more than two bags. I ran into one of my trashmen at McDonalds and he actually asked me for money. Needless to say, he didn't get a dime.

Don't let this deter you from putting out extra trash or tipping within reason. Buddy of mine says that $1 per bag is reasonable if you exceed the bag limit or weight. I tend to agree

I have a horrible fly problem in my yard.
I have those bags that you put some water and bait in and they get trapped. They work to an extent but they stink like rotting food(I guess to attract the flies)
Nothing works great.
Also have Mosquitoes I dont have water sitting in my garden, I immediately clean after my dog. I am at wits end on these problems.

Those off power pad lamps work great if you are sitting out, but just letting the dog out they are not practical.

Atleast you don't have to deal with red beetles and giant moths. People who don't like bugs would be all skitzed down the shore. XD