Congratulations!!
We we moved to our much larger home, we didn't have it full of furniture right away. i suggest NOT trying to fill it up with cheap furniture, etc. We bought QUALITY pieces, some one at a time over time. Don't go to the box stores and buy by the room and get sucked into the no interest plans, that is a croc. Stay out of debt while furnishing wisely.
As for the TV's I personally don't see the big deal with it. We have TV's in every room and it has not separated our family or kept any of us holed up in our rooms. You can only be sucked into the habit of TV all the time if you allow it. I would let my daughter keep her TV. GEES.... watching TV causing suicide.... wow, a little absurd and "out there" in my mind. BUT... it is your family not mine.
Plants are economical and can fill spaces nicely, a nice rug, indirect lighting, etc.
I agree with not closing off rooms. You need to occasionally run water in a bathroom not being used so you keep things in working order.
As for your stove. When we were in a construction phase a few years ago, Ib bought a hot plate that had 2 units on it. I used that thing at least 6 months and to this day if we have a crowd and I need extra stove eyes, I pull it out to keep things warm, etc. I made homemade dinners with it and it all turned out fine.
We also have an extra microwave that is not installed, a kitchen top model that we keep upstairs. It came in handy when our microwave went out.
I LOVE LOVE LOVE my Kitchen Aid toaster oven. I use that a lot instead of heating up the oven. It was only $150ish and one of the best kitchen appliances I own.
I have a crock pot but I am not a crock pot user. I like to cook from scratch and prepare my meals vs letting them cook themselves in a crock pot. I appreciate that many people rely on the crock pot, especially if they are working outside the home, have a lot of children, or just don't like to cook.
Just move slowly, don't rush into filling up your space. It will fill over time. Enjoy the space while you have it now!