Although a lot of opinions about warming up are in transition these days, I'm beyond my "warrior years" now at age 46, so I'm trying to keep myself more healthy more often.
I've seen significantly better recovery from day to day when I deliberately stretch well immediately after I'm done on the courts. Even before I get in my car to head home, I try to hit the fundamentals which include my quads, lower back, calves, etc. If I also get a decent stretch right before bed, I routinely feel better when I put my feet on the floor in the morning.
I also think it's smart to get my muscles and cardio "switched on" before I go full speed on the courts, but I don't use the same warmup routine every day.