AirBnB Paris

You're far enough out to the southwest to be off most tourist maps, you're off the one I used in Paris last month. About 2.5 miles southwest (straight line distance) of Notre Dame.
You're well to the south and southeast of tourist attractions. But you're only 1/3 mile from the Metro Line 12, the Vaugirard station. That line will take you to the Gare Montparnasse Train & Metro station, where you will be able to connect (underground walking) to other Metro lines taking you toward the river.

Will take a bit of time, but do-able. Probably you'll want to avoid commute hours on that route because of crowds and you're having to stand in crowded cars during commute hours. Commute hours are a bit later than here, especially in the evening.

Due to the distance, you probably won't want to return to the apartment during the day.
You might want to be a little closer in for a short 3 day visit.

If I can cancel what is a better part of town with accommodations for a $90-100 nightly that I will try to secure through AirBnB or similar rent by owner? We will probably want to go back once during the day. Also we want to be able to see the Eiffel and visit R. Cler along with the other places we plan to see.
We will be there for 3 full days plus arrival and early departure. Obviously I have never been to France.

A site I have used is Cross-Pollinate.com. They have lodging in all kinds of neighborhoods, photos, reviews and is run by an American couple who live in Rome. They check out all the places frequently. We have always been very happy with them. Personal service and a real person to communicate with.

Clester6,
I think you're right: being able to fairly quickly return to the apartment/hotel once a day (without burning up a lot of time getting there) is really a plus, especially in Paris where public restrooms can be surprisingly few and far between (except in the museums, which is another reason to visit them).
By now you hopefully have a map of the "center" or "historic center" of Paris. Or use an online map. Looking at a map, note where your current rental is: pretty far out southwest of everything. Your current rental location is actually not even shown on my Paris tourist map that I used in Paris last month.
It may help you to know that Paris is broken down geographically into districts, which they call "arrondisement" (abbreviated "arr.", ah-rohn-dees-uh-mon) (give the n's a nasal pronunciation).
Anyway, looking at the map, your current rental is out in the south-central part of the 15th arr. To be close enough to efficiently and quickly get back to the apartment once during the day, it sounds like you probably want to select a property located in a neighborhood that is northeast from your current location, and closer to the Seine River, which divides Paris in two. Neighborhoods popular with people here seem to be:
Rue Cler neighborhood
Marais neighborhood
Luxembourg Garden neighborhood
Ile St. Louis (this one will probably be well above your $90 - $100/night)

Of course, the closer you get to the river, in general, the more expensive rentals and hotels are, because that's where the demand is.

Anyway, hope this helps. It will help if you spend some quality time with a map that shows the "tourist" or "historic center" area of Paris. Then you'll start to get the lay of the land.

It helps to have a property that is close to a Metro station. It's difficult to get too far, in Paris, from a Metro station--but in general, the closer you are to a Metro station, the better (especially if it's raining, which it's been known to do in Paris).

For only 3 nights, you could also consider a hotel. They are easier to arrange, click click and you're done.

Okay team, what do y'all think about this address? 5 rue des petits champs, Paris, Île-de-France 75001, France? It as a little more than I wanted to spend but looks much better. Thank you for your helpful replies. I will keep shopping and ask again. Great to have a Savy Team!!!

Rue des Petits Champs is very central, just a block from the Palais Royal garden. Much more convenient for sightseeing than Rue Blomet. You'll be able to walk to many Right Bank sights. It will be a busy commercial neighborhood during the day, surrounded by the financial district. It's a few blocks from the Pyramides Metro station, where two lines cross, making it easier to get more places.

That said, I wouldn't dismiss the Rue Blomet location just because it might take a little longer to get there for a midday break. First, anywhere near a Metro station is really "close" to anywhere else because the Metro is so fast. Second, cafes are everywhere and provide a chance to sit, take refreshment, people watch, regroup, and use the bathroom, for just a few euros. Third, how long it takes depends on where you are when you want to go back.

Google Earth's "street view" feature lets you scout a neighborhood, spot cafes and restaurants and groceries and such, and get a feel for how the streets look. Both of your locations look remarkably similar on "street view." So maybe you should decide based on the tradeoff between convenience and price. Consider spending on cafe stops what you save by staying out on Blomet!

Thank you all for your input. I am going to book the R des Petits Champs because it is more central and the extra $ will be worth it to do more walking and I checked it is easier from CDG, etc. It is a gated 3rd floor apartment and that will suit my son and I. He is not much of a site seer but I am and I can get about and he can hang around the apt or cafes in the area. Thank y'all again.

The rue Blomet address is just not that far out, and it's a nice neighborhood. Less than a mile and a half to Luxembourg Gardens, even closer to the Rodin. You are also near Square Georges Brassens, which looks like a nice local park to spend a morning. Montparnasse Cemetery (check out who's planted there) and the Vanves flea market are close by. There's alway this push to be central; Paris is easy to get around. I bet there's a bus that runs the length of rue de Vaugirard, more interesting than the Metro.

For only three days, rue des Petits Champs location will work better. If you were staying longer, the other neighborhood is a little nicer and residential, and the Square Georges Brassens has a good book and record market on the weekend, but it's really a bit out of the way for a short visit.