Some great lists already posted. If you are in a hard water area, consider getting a water softener. Also use a two or three-filter system for the water. Being in TX, seriously consider a dehumidifier.
Don't know what refrigerator you have, but the freezer may have a plastic smell for a while. Try using Arm & Hammer baking soda (fridge type) set inside the freezer and some for washing out the freezer. If you have an ice maker, wash the ice bucket thoroughly several times and let it air dry before placing back into the freezer.
May have already been mentioned previously, a product like Rescue Tape is good to have on hand. Do a search on "Rescue Tape" to learn the various uses for that.
Find out the proper torque for your lug nuts. During the initial trip, check the torque several times and adjust as necessary. If you don't get a tire pressure monitoring system right away, then visually check the tires every 1-2 hours. Feel of them to see if they are getting too hot and check the pressure.
Check tightness of all bolts you can access. Check the underbelly material to see if you need to add additional self-tapping screws and washers to hold up underbelly. Check water hose connections under sinks, in basement and at water heater to make sure all are tight. These will be items you need to put on your check-list to keep on doing throughout ownership as things do have a way of working loose while traveling.
Trust me, as you travel and read this forum, you will soon get into a routine of setting up and breaking down and doing maintenance checks while parked somewhere.
Check the screws in the ceiling fan. Many of us have had to use loc-tite to keep the screws from falling out during travel. If you ever walk into the coach after travel, open up the slides and see screws on the carpet under the fan, that's probably where they came from.
If you have any questions any time, post it or PM or email any forum member. Best wishes in your ownership and travels.
Carolyn and J.D.