The are trains are electric so they're not as noisy as diesel trains but still make some noise.
The Rossio train station is the first/last stop of the Lisbon-Sintra commuter line so there will be a large volume of people and associated noise.
The worst for some people is the vibration associated with trains which is transmitted thru walls.
If you're ok with the above-mentioned then Avenida Palace would be better public transit wise because you would be attached to the train station to the Sintra line ( if you want to visit Sintra).
All 3 hotels will have road traffic with the worst being Avenida Palace since it's by Avenida da Liberdade (large avenue in Lisbon) and Rossio Square which is also busy.
The Mundial would be the second worst traffic wise.
The Pessoa hotel is in a more residencial area so it should be much quieter than the other two as long you don't mind the uphill walk .
You will find that drivers in Portugal make liberal use of their car horns, don't be alarmed it's normal, so Lisbon can be quite noisy at times.
That area of Lisbon is good for walking about ( in spite of the hills) however it's full of tourists which attracts pickpockets, keep your valuables and ID in the hotel safe and only carry enough money for the day's expenses and a copy of your ID.
Hope that's helpful.