Moab Trails I've done: Onion Creek, Long Canyon, Dome Plateau, Top of The World (2), Fins-N-Things (2), Poison Spider,
Golden Spike, Gold Bar Rim, Hell's Revenge (2), Baby Lion Back, Cliff Hanger, Moab Rim, Kane Creek Canyon, Strike Ravine
All of the above plus; Too little gas might get you stuck, too much can get you body damage. You don't say what model 2010 you have. If it does not have recover points add them first, recover points are hooks on front and back that straps and / or winch lines can be connected to.
Post in the South central forum that your looking to wheel for the first time and I'm sure you'll find some locals willing to help out.
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[SIZE="1"][B]97 TJ:[/B] daughter 1 - 2.5L, Auto, 2" BB, 31" GY Duratrac
[B]98 TJ:[/B] Daugher 2 - 4.0L, 5spd, D44 rear
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yes, take a friend who has expereince. i had never driven a 4wd off road and we took my brand new (only days old!!!) jeep around a lot of cane field headlands about a week ago. since weve had a lot of rain here, most tracks were overgrown and/or very sloppy with water and mud. nothing too serious but enough for me to learn a few basics and get the feel of the vehicle. i would never have attempted the tracks on my own even though they would be considered 'kiddy stuff' to a lot of people. anyhow it was a lot of fun having the reassurance of an experienced driver with me.
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Take a friend with experience, make sure you know how deep the water is before you go through it, get a snatch strap rated to over 10K with loops, not hooks, get some decent anchor shackles to attach the tow rope.
2003 Jeep Wrangler Rubicon
4.0L, 42RLE, Dual Tops, Full Doors, JKS Front Disconnects, Cragar Soft 8 Black Wheels, 33x12.5x15 Goodyear Duratracs, .75" Front Coil Spacers, Bushwacker 6" Flat Fender Flares, Skid Row Steering Box Skid, LubeLockers, Rubicon Locker Mod, OBA, Cobra 19 Ultra III CB, 3' Firestik, Rough Country 2.2 Steering Stabilizer, RC 1.25" BL, RC 1" MML, RC Grab Handles, Fog Lamp Bent Pin Mod, 4" Apline S Series Speakers, Kenwood Excelon 6.5" Speakers, 6.5" JL Audio 6W3V3 Subwoofer (in center console) w/MTX Thunder 202 amp, IPF H4 Headlight Housing, Sliverstar H4 bulbs.
This won't help you tomorrow, but along with the above advice I'd get this book: Off Road Guide - Jeep Jamboree - 4 Wheel Drive & Sport Utility Magazine
You can order it for $7.95 (includes S&H) from: Mark A. Smith Off-Roading, Inc., 2776 Sourdough Flat, Georgetown, CA 95634. I got a copy years ago when I went on a Jeep Jamboree and found it very informative and helpful. This booklet is a good reference.
Random thoughts: Attachment points front and rear (no trailer hitch balls), don't let anyone talk you into doing anything you're not comfortable with, have a way to air-down your tires and air back up, have a full-size matching spare, shovel, tow strap (no hooks), make sure you know how to engage four-wheel drive and four-wheel low, start with a full tank of gas, bring what you would need if you had to spend the night out in the woods (food, water, warm clothes, etc.), make sure everyone is wearing a seat belt at all times, have another vehicle with you, order the above book (it's cheap, and it might save you from damaging your Jeep). Heck, I might order another one since this is an updated book. It never hurts to review stuff.
All the above is good. Try to use common sense, take things slow and easy. You're out to learn and have fun, not run the Baja 1000, right? Relax and enjoy, don't do anything you don't feel comfortable with.
Also, another thing that just popped into my head...
Try not to scare the passengers. You want your family to enjoy offroading, I assume. Make it so they want to go again in the future.