Welcome to the club, Terry! If you cut a small limb (2-3" around, maybe a couple feet long) off of each of your variety of trees, you'll have enough smoking wood to last a lifetime! I'd recommend cutting the limbs, and store them in a dry place until they season to the right moisture content (20-30%). You can get a moisture meter off of Amazon for $19 that works great. You never want to smoke with "green" wood.
As far as what you put through the chipper - I'd recommend against it. Unless you have it nice and clean, you'll get oil residue, leaves and nasty bark in with your chips....maybe not such good quality. Chunks are great, and you can control what you end up if you chunk it yourself.
Until you have enough properly seasoned wood, I recommend smokinlicious.com for some really good smoking wood. It's the right moisture content, and is all heart wood (no bark). Really good stuff!