So, I live in Northwestern Washington...
It's nice to be on good speaking/cooperational terms with your neighbors.
Get a trap or two for the coons... every farm should have some traps.
Get some trail-cams and coordinate with your neighbors for good locations to place them. Far easier to make a case for a depradation tag with tons of pics of the same bear or lion snooping near your fencelines. Check them regularly.
Every year, every season, buy tags for everything you can... just in case you do surprise something during a season, there's no legal issues.
Have a gun ready to go at all times. Get a scabbard for your quad or gator for when you're away from the house. Have it near you religiously. In 6.5 acres, there's nothing out of range of .223, but if you're gonna take a shot at a bear from the house at 400yds that is in the process of killing your animals, you're gonna want something bigger. LONG-ACTION! Nothing worse than a .223-wounded haunch-hit bear running around. An AR is a good choice for the rest of the farm. If you want to step up the power in case of the surprise bear, then 6.8spc is also a good choice (Hornady 120sst's are fantastic). For the size of your place and possible targets, I don't see any limitations to a 30-30 lever-gun except ammo capacity.
Also... you can pick up a Maverick 88 for about $180 or less a lot of places. No reason not to have one stashed out in the barn or wherever... a 1oz slug solves a lot of problems. You can leave it just about anywhere next to a can of WD40... hose it down and cycle the action every couple of months.
An M&P Shield (9mm or .40) is a decent choice for farm carry. Small enough not to get in the way, but enough caliber to get something to stop whatever it's doing. Make sure you've loaded hollow-points that you know function in the gun... the more energy the better. Gold Dot 124's are good for half the law enforcement in the country, good enough for me. A piece of advice... if you ever pull it on a bear or cat, shoot 5 or 6 rounds initially, then at least a couple follow-ups unless you know it's done.
So, to sum up:
Be a good neighbor
Traps and game-cams
Buy tags
.270 or .30-06 bolt-action at the house
.223 or 6.8spc AR15 when you leave the house
12ga shotgun back of the property
+P rounds in your carry pistol
Oh... more dogs can't hurt.