Help me plan our trip!

We did the Champagne region as a bike trip but I think it would be possible as a day trip from Paris. Maybe a long day but certainly would work. Personally, with such a short trip, I would stay in Paris and do only Versailles and Champagne as day trips and skip Beaune and the Loire. The other option would be to spend 1 or 2 nights in the Champagne region. You will have jet lag so you will lose parts of a couple of days or one whole day that you will be pretty tired. If you rent bikes in the Champagne region or at Versailles, it might help with jet lag. Really, you only have 8 days, so I would pace yourself.

I think we would all rather spend overnights in Beaune rather than the Champagne region. What's the advantage of staying in one over the other? They are both within 2 hours I believe of Paris, so relatively easy to travel to, right?

I also am not interested in spending that whole time in Paris, honestly. I would rather get out of the hustle and bustle and see more of the countryside. But that's just me. I know many people love Paris.

Spend most of your time in Paris and add Beaune. There are wine villages immediately north and soith of Beaune. Tastings are done in "Caves" in the town center. The. Hampagne houses are reachable as a day trip. Epernay is charming and you can visit a champagne house or two.
You will experience more wine villages in the Beaune area though. You can take a train from Paris to Dijon and rent a car to explore the villages surroinding Beaune.
You aren't museum people but are going to Versailles? I did not enjoy the actual palace but the grounds are very nice. The Loire Valley is filled with these palaces which, to me, are museums.
Two very small museums in Paris are l'Orangerie filled with Monet's Waterlilies and Musee Rodin, an outdoor sculpture garden of his works including "The Thinker." You might consider both of these.
You only have nine days, so choose carefully to maximize your time.

When I said we aren't museum people, I usually mean art. I don't want to spend hours inside looking at art. Versailles is more of a wish of our friends that didn't make it there on their last trip, but I am interested in going there too. To me, castles have much more of an appeal than the Louve, for instance. I'm not just going inside somewhere and that's it. There are grounds and ambiance and whatnot. If we just wanted to see a couple of the castles in the Loire, is that doable on a day trip from Paris. Originally we were thinking of staying Amboise and doing wine tasting out there, but after researching, I'd rather do all that in Beaune.

I would consider the Loire Valley as it would check off most of your list, including wine and sparkling wine. Tons of chateau! You could split your time between the east and west sides and tour around through the countryside. I can't speak from personal experience, yet...we're sitting in the airport and we will be there tomorrow! It really sounds like it would cover your interests well though; less moving around gives you more time on the ground to see and do things, which is great on a short trip.

There are some tour operators that run day trips from Paris to the Loire Valley (eastern end) and you may find one that includes wine tasting. Since you are not into museums, the Loire chateaux will probably be of interest for the beauty of the gardens and architecture, which you can appreciate in a short time as allotted on one of these whirlwind day trips.

See https://www.viator.com/tours/Paris/Skip-the-Line-Chateaux-de-Chambord-Chenonceau-and-Loire-Valley-Wine-Tasting-Day-Trip-from-Paris/d479-3731LOIRE

You can travel to Beaune and back by train, TGV to Lyon and transfer. The Beaune train station puts you right in town.

My husband and I did a similar trip last year by car, but with quite a bit more time and two other regions (3 weeks/Normandy & Brittany). I agree with Cyn and would cut out the Loire Valley. As for the other two regions, Beaune is a 2 1/4 hours via TGV and Reims is about 45 minutes via TGV from Paris. I would choose one area other than Paris than try and do both. Both areas are beautiful with great wine/champagne and food. Depending on where you stay they can be relaxing and quiet too. However, it is really helpful to have a car to explore the areas. If a car is not an option, I would look at bike tours or day tours to explore the area and get out of the cities and into the countryside.

I have Rick's France book and haven't read the section on on the champagne region yet, but I was interested in his suggestion of staying in Beaune and renting bikes to visit some of the wine villages in the area. We would be doing that or renting a car I think.

Reims is doable as a day trip by trian from Paris. Take an early train and you'll have time to tour at least 2 caves with tastings and see the cathedral and the basilica. You will probably have time to see the WWII museum where the Germans signed the surrender (Musee de la Reddition) if you have a quick lunch. I took 3 cave tours, all were different and interesting. They do all explain (briefly) the process, but most of the tour is about the history of the winery and the area. I toured Tattinger and Martel in Reims - they are a short walk from each other and from the basilica. Tattinger's tasting was a bit skimpy, but they pour some of the best of their bubbly. Martel was quite generous. You can also get several different wines by the glass all around town - no general tasting rooms though. In late June you may need to book tours a few days in advance. The small producers generally require booking in any event. Probably better on a weekday - they seemed to get a lot of weekend tourism from folks who live in commuting distance.

The Loire is too far for a day trip. If you rent a car, you can see a couple chateaux in Burgundy, as well as visit Beaune. With a car it's better to stay outside the big city - the small towns and villages are great and probably less expensive. Take a fast train to Dijon and pick up the car there.