hey hey janice
as you can see prices have gone way up, plus it’s high season september/october with it being harvest season, celebrations & many festivals, cruises starting & ending in rome.
giving a few places to check out:
hotel lorico
magnifico rome
LHG comfy rooms
residence regola
check out booking.com. put in your filters and see what they offer. some have breakfast included, A/C which you may need, stairs/steps, elevator, fridge/coffee pot. your decision. we liked campo de fiori, piazza navona, pantheon. lots of walking (wear comfy shoes), if needed catch a taxi at stands, no hailing.
like hotels that have front desk to ask questions and info. remember check-in is usually 2-4pm check-out 10-11am, most have luggage storage before check in.
hope this helps out, you can always come back to ask questions, posters here to help give good bad and ugly. don’t know what your plans are, any attractions book now. many are time/date stamped, already booked, check tours. have fun
aloha