Best reasonable priced hotel in rome where we can walk and see the sights

You don't say what a "reasonable price" is for you, or when you're going. The hotels are all less expensive in winter months. Remember that Rome is like New York City, and hotel prices are high. You can do several things: I highly recommend searching on booking.com This is one of the more reliable sites for searching hotels, and they will give you the prices on your choices for the dates you are arriving. The reviews are good because unlike several other sites, you must actually stay in a hotel in order to give a review. Another option, is airbnb.com which is an apartment rental site inclusive of Bed & Breakfasts, which are less expensive than hotels usually. Also, roninrome.com is probably the best website in the world for Americans wanting to visit Rome, and he gives recommendations there.

Now, regarding area to sleep in, and this is important, because many times staying near the locations you want to spend time in will save you ground transportation money (taxis & buses). The areas that I would recommend are: Trastevere, Campo di Fiori, Piaza Navona. I personally, like to stay in the Prati area because I spend a lot of time at the Vatican, am older, and like more quiet nights as opposed to the areas I mentioned above.

Many people on this site recommend staying in the "Termini" area (train station) and I do not.
Mostly because the only thing it's convenient for is arriving and departing from Rome. It's not
close to any sites, and it would be difficult to return mid-day, for example, for a clothing change or whatever. I also don't like the restaurants, etc., near there.

Once you get your hotels narrowed down to a few choices, and post the names here, I'm sure you'll get lots of opinions here!

I have really liked Hotel Italia. There is a forno (bakery) across the street, restaurant next door, shopping along the main drag (Via Nazionale)(hotel is on a quiet side street)...walked to the Coliseum, Trevi, Trajan tower, Forum, Pantheon, Piazza Navona, Campo di Fiori, Victor Emmanuelle Monument, and so many other places. We have stayed there twice and friends have stayed there on our advice. All was good. Staff was very helpful. Breakfast there was easy. Metro stop is a few blocks away and they had metro tickets at the hotel reception desk that we could buy them there instead of trying to figure it out at the metro stop and we walked there from the Termini.

Hope that helps!

All the hotels I found through this site were good. It's a good selection of hotels at various price ranges.
www.nycerome.com
You can select the district where you want to search by clicking on the map.
Pantheon, Trevi, Navona, Campo dei Fiori, Spanish steps, are considered the CENTRO STORICO. This area is the most expensive for hotels. As you move away from those, prices tend to drop, but you are a little farther from the action. The Centro Storico is full of tourists (and Italian politicians and their entourage).
Personally I like Trastevere the best. It is a characteristic quaint medieval district full of vibrant life and restaurants. It used to be mainly locals working class district when I was a youngster over 30 years ago, now it's full of tourists as well.
Try and click on hotels or B&B you might like on the site above to see if you might like them, then check on their availability on the dates you are traveling and book. The site uses booking.com for the booking part.

I have stayed a couple of times near the train station (main station).
Hotel Sonya and Hotel Contilia.
I was able to walk easily to the forum, Colosseum , and I could
get to anywhere by walking 2 or 3 blocks to the train station to
catch a local bus or the metro.
I found the prices in this area to be reasonable and also
there are several nice restaurants for nice dinners.

I've stayed at the Hotel Aberdeen and loved our stay. The rooms were nice and the front desk staff was helpful with making dinner reservations for us, and getting us on buses to smaller sights we wanted to see.

i've read a lot of people post about Hotel Sonya too. I actually booked a room there for this august.

We've had several very nice stays at the Accademia.

http://www.accademiahotel.com/

Literally around the corner from the Trevi Fountain, the only site we used transport for was the catacombs.

I have stayed in a pension on Via Nazionale - noise and diesel fumes- but great price.
I like the Smeraldo very much, a RS recommended hotel. They have the main hotel and a dependancy, ask which is quieter. We had a nice room on the second floor in the main building, but found we needed the cafe across the street to close before we had a lot of rest... Except I had earplugs, so all was well! The RS book has several Rome walks which are excellent- buy the book & use the restaurant recommendations. We walked to the Vatican, the Spanish steps, Forum and Capitoline Hill, etc- easily from Smeraldo. lovely rooftop views too.

I have stayed in a pension on Via Nazionale - noise and diesel fumes- but great price.
I like the Smeraldo very much, a RS recommended hotel. They have the main hotel and a dependancy, ask which is quieter. We had a nice room on the second floor in the main building, but found we needed the cafe across the street to close before we had a lot of rest... Except I had earplugs, so all was well! The RS book has several Rome walks which are excellent- buy the book & use the restaurant recommendations. We walked to the Vatican, the Spanish steps, Forum and Capitoline Hill, etc- easily from Smeraldo. lovely rooftop views too.

Keith
Hotel Italia on Via Venezia is a great value. I have stayed there on 4 occasions. It's a short bus ride from the Termini. Busstops on the Via Nationale are very convenient. Also the Hotel is walking distance from many sights (you must be in shape to walk). I am in my 60's and have walked from Hotel Italia to the Colosseum, to the Trevi Fountain and Spanish Steps. From each location you can continue to explore the sights of Rome. I feel it's a great location. The staff is also very helpful and speak good English.

Make sure you carry a good lamnated map.

Fred