Ask for advice on a 9-day itinerary for free travel in Taiwan (disembark at Taichung, return to Hualien)

Hello, <br/>D1 Taichung, D2 to Sun Moon Lake, and then live in Cingjing Farm. <br/>D3 Qingjing-Taichung<br/>D4-d5 Taipei<br/>D6 Jiufen Shifen-Qingshui Cliff-Living in Hualien<br/>D7 Whale Watching-Taroko-Chihsingtan<br/> D8 Huadong Rift Valley Line-Yunshanshui-Lintian Mountain-Ruisui Ranch, etc.<br/>D9 Hualien Return

From Taichung, go to Taipei and return to Hualien, but want to go to Sun Moon Lake on the way, the itinerary is about; D1; Taichung---Cingjing Farm, D2; Cingjing Farm---Sun Moon Lake, lake tour, cable car<br />D3; There are buses from Sun Moon Lake to Taipei directly, in the afternoon, Taipei City Hall, 101, Xiangshan<br/>D4, Shilin Mansion, Forbidden City, Shilin Night Market<br/>D5; Chiang Kai-shek Memorial Hall, Ximending, Maokong< br/>D6; Taiwan Railway, Taipei---Ruifang, Pingxi Line, Gold Museum, Jiufen Old Street<br/>D7; Taiwan Railway, Ruifang---Hualien, whale watching in the afternoon<br/> D8; Taroko, Qixingtan, Qingshui Cliff<br/>D9; Huirui Ranch, Guangfu Sugar Factory, etc., go to the airport according to the flight time<br/>I don’t know what you like, the above are just personal suggestions, for reference only