First, let's be sure we're talking about the same place. Find your place on a map on your computer, zoom in a little and confirm that it's almost straight across a canal from a 2-star hotel, La Dolce Vita, and the little street to the left of your place is called Calle del Guardiani. Correct?
If I have the right spot, I don't think a vaporetto will help you much in terms of distance to be walked, but riding to the San Basilio vaporetto stop will reduce the number of little hump-backed bridges you have to cross, and that's very worthwhile when you have luggage with you.
How are you getting to Venezia Santa Lucia? The buses from the airport go to Piazzale Roma, I think. I'm not sure about the Alilaguna boats and water taxis, because I've never taken either.
I need for others to check me on this: It looks like the easiest way to get from Santa Lucia to San Basilio is to get the Line 2 vaporetto heading in the direction of the Lido. It appears San Basilio will be the 5th stop. Alternatively, you could walk across the long, potentially slippery Constitution Bridge from the train station to Piazzale Roma and take Line 6, also in the direction of the Lido. That will be a shorter ride, with San Basilio being the 2nd stop.
There are multiple boarding platforms in front of Santa Lucia and probably also in front of Piazzale Roma. There are signs indicating which line stops at which platform. If you're ever in doubt, say the name of the stop you want in a questioning tone to the employee managing the loading process. He or she will nod "yes" or "no" so you don't get on the wrong boat.
The current map of vaporetto lines can be found here: https://www.venice.nu/wp-content/uploads/2024/03/mappalineedinavigazione-OTTOBRE2023web.pdf. You may also want to download the app CheBateo, which will provide directions for later movement around the city.
Important: Individual vaporetto tickets are exorbitantly expensive at 9.50 euros each. Many visitors find it saves money to buy a pass. Passes are priced as follows:
24 hours: 25 euros
48 hours: 35 euros
72 hours: 45 euros
168 hours (7 days): 65 euros