Install the accumulator tank and try it for a while. You may decide you don't need to upgrade the pump. Don't get that dinky accumulator tank that Shurflo sells, get one like this.
2 gallon accumulator tank I like the 2 gallon tank because it holds enough water for DW and me to go potty all night without the pump (right under the mattress) coming on a single time.
Note that I put a bypass valve on mine, just like on my water heater. Keeps pink stuff out of the tank. Drain the tank and bypass. The line has a shutoff so I can flush the pink stuff through the line going to the tank though.