Your dealer will give you a PDI before you sign the final papers (at least that's what's suppose to happen). Don't sign the final finance/sale papers until you make certain everything is working correctly. They'll be able to answer your questions about how things work. If you've got a smartphone, record the walkthrough because you're not going to remember some things later.
There are lots of different types of storage: storage lots, private campgrounds, storage buildings, driveways, etc. I wouldn't recommend a cover, unless you're talking about something like a canopy. They are hard to get on, subject to wind damage, etc. However, some people have success with them. We keep ours in enclosed storage and spend about what you were quoted but we pay monthly and it's month to month.
Congratulations on your purchase and welcome to the forum!