I just booked a reservation direct with Lufthansa roundtrip Seattle to Rome next April/May for $943 each with extra legroom (the legroom added $250 to the fare). This includes one carry-on (up to 18 pounds) and one checked bag (up to 50 pounds). I usually have just carry-on, but it usually weighs about 20-21 pounds. We may have to check one small bag, or I need to reduce what I take a bit. Thought this may be of interest.
Donna that's a good price with the added legroom . Two sites that I really love for finding cheap flights are Google Flights and Momondo. Theirs also sites I forget that you can pay an annual fee and they send you airfare alerts for all over the world. I found airfare to Italy with British Airways that had similar price options from San Francisco SFO. The sale popped up on my FB feed. I think because of Covid they were having a special sale to get travelers. My friend and I are traveling there in Oct. Interestingly sometimes these sale prices aren't listed on Google Flights or Momondo. Your trip will be lots of fun.
Just set several Google Flight Alerts to monitor prices easily: https://support.google.com/travel/answer/6235879?hl=en&co=GENIE.Platform%3DDesktop
For diverse destinations https://scottscheapflights.com/ can be useful.
Donna, This is exactly what I was checking out last night, and this is a better deal than I found — nonstop even! Thank you for posting.