Well Joe, congratulations on your new rig, secondly boy are you in for a shock. The leisure life of RVing isn't always leisurely, sometimes is a PITA, that said most of us really love the life style and just can't seem to give it up. You will find that the various search engines are your best friends and that the men and women on this Forum and the ones you'll meet as you travel are open, friendly and helpful, so welcome to our world and the Forum.
Now, to answer your questions in part, among the things you'll need on the road, two items you'll hear about often are the DMM or digital multi meter. Not to be rude but the DMMs that HFT(Harbor Freight Tools) sells are throwaway meters. That doesn't mean they are not usable, just not ruggedized. I have several and try to buy something from HFT every time they send me a sale notice and are giving one away with any purpose.
For me at least. because I usually have no one to help me, I like having both audio and visual aides in the form of a little piezo speaker with a set of test leads attached and a automotive test light. As you will soon learn, many things in an RV are hidden away under the bottom of a cabinet or behind a false wall and holding a set of test leads and looking at the test points makes it hard to look at the meter face. If you just need to know if 12VDC power is available, either the piezo or the test light will work.
Neither of these are worth anything if you have no idea where to look so first read "The 12 volt side of life. Just google it. Second write down the manufacturer's name of every appliance in you rig and get the manuals hopefully including the trouble shooting guide, once again Google or go to the Mfg's website. As part of that list, write down the year and model of the appliance, you'll need that to get specific answers from the members here.
Our and the industry's jargon you'll pick up from reading posts, it's pretty simple.
Something to think about is that you are now in your new home and quite possibly you will be traveling some undesirable roads in your new home and as such it will be experiencing the equivalent of a 3.5 to 8.0 earthquake as you are driving. Things will brake and things will come loose. You'll discover how to keep things where you want them and to go around your rig and check everything once in awhile.
Hopefully you have picked an RV that will suit you, no matter how much you learn to love or hate it, don't fall to the urge to buy something bigger and better for at least a year of living with what you have. These things are a big investment and changing willy nilly is expensive and often something you'll question later.
A hint that I gave my grandkids, when you buy something to carry with you in your car, try to buy something with at least two uses. An example is a screw driver and a nut driver. There are dozens of manufacturers of six in one screwdrivers. Instead of four screwdrivers and two nut drivers, you can have one tool that is really 6 tools. Weight and space are things to conserve in a RV.
There are forty six thousand, nine hundred, seventy nine things you end up learning and which you will need to know, shore power cord sizes, 120VAC service sizes, how long a stinky slinky do you need, which water pressure regulator should you buy, how does that battery disconnect work and what does it sound like when it's working properly, what is that whirring noise, where is that whirring noise source, where do I buy one of these or one of those, and the 46 thousand plus things we as RV owners know.
One important, no, very important thing you need to know NOW, how tall is your rig. Either write it down on a sticky note or label and put it where you can refer to it.
So I think that I have given you too much info at one time and you need to get on with finding out what is wrong with that furnace and fix it. The rest will come in dribs and drabs and suddenly you'll be imparting info to newbys. Have fun and read all the other posts a couple of times each so you imprint that info in your mind.
"I travel not to go anywhere, but to go. I travel for travel's sake. The great affair is to go". R. L. Stevenson
David Bishop
2002 Winnebago Adventurer 32V
2009 GMC Canyon
Roadmaster 5000
BrakeBuddy Classic II