Yuling --
First, welcome to the board.
I've done a pretty rapid skim of the posts above. You've gotten some great suggestions. I want to add a few housekeeping notes and thoughts.
For today (Saturday), please start a new thread. We typically suggest one condo (aka thread) per cat per day. You'll want to copy and paste the link from this thread into the new thread. That makes it easier to backtrack for information as well as not having to read tons of posts from an aging condo.
With a cat that is recently post-DKA, you want to do what you can to not skip shots. DKA arises as a result of an infection or inflammation + not enough calories + not enough insulin. Some cats are very sensitive to any variation in that combination of factors and we don't want Casper back for another hospitalization if it can be avoided. If catching a urine sample to test for ketones is inconvenient, there are blood ketone meters. The ones that have historically been used ar the Precision Xtra and NovaMax. However, in recent years with the Keto Diet becoming popular, there are lots of ketone meters around. The strips are expensive -- about the cost of the AlphaTrack strips -- but you don't need to use as many.
If you get a pre-shot number that's lower than expected, please post and ask for help. (You will want to put a note in your subject line that you need input.) Again, this is because you really don't want to skip a shot due to Casper being on the recovery from DKA.