If it has been there for so many years, I would leave it. Like I said, it will recover by developing new foliage... exactly when is difficult to forecast... Down here, when we are in the daily 100Fs, plants are in no mood to bloom so if one were to loose leaves, it may choose to replace them now (if temps come down), later (as Fall temperatures come down) or in Spring 2020. No need to remove the leaves; just let them fall... although I have been known to squash dried out brown leaves now and then...
Since you recently moved there, I would not make any changes. When I moved to my current home, I kept the status quo so I could learn what was a weed and what was a plant that the owners planted. Except for a tree with rot that I had to remove, I basically left everything "as is" for a year so I could see what bloomed and when did it bloom.
I would join some local gardening clubs to learn how people garden in AZ since the conditions differ so much from those in OR. When I moved to Texas, I had some water intensive plants in the landscape and I had to learn how to manage their waterings. For example, I learned that temps get to the 90s in May and that is when summer starts here... as far as I am concerned. By the end of May, outside garden work has to be done by 10-11am because it gets too hot. I also learned not to buy any plants from May until Fall temperatures arrive... I also increase the watering amounts in May as temperatures mostly stay above 85F and, one notch higher, when temperatures are over 100F.
When my sprinkler broke, I switched my sprinkler system to mostly use drip irrigation (you can use soaker hoses).
