I want to start watching the DCAU and got overwhelmed by the watching order

Sorry if this isn't the right community for this, but I couldn't find any other place to post this.

I want to start watching the DCAU, starting with the 1990s shows and eventually the films. However, I couldn't find out online in what order to watch everything.

Here is what I could figure out so far:

• The watching order of Batman TAS is a mess. I should stick to the production order and expect some continuity issues
• There are 2 DCAUs: The Timmverse and the DCAMU, which is the newer one
• There are some projects in the Timmverse that I don't have to watch (like Static Shock or The Zeta Project), and I intend to skip them unless they are important
• I should skip the epilogue to Justice League Unlimited's finale for some spoilery reason
• The watch order for the DCAMU is very clear, since they are just movies, I can base the watch order on the release date
• Most of the movies in the Timmverse are related to Batman TAS, but there are 2 movies well into the DACMU era that are canon to the Timmverse
• Batman: The Caped Crusader is made the the same team behind the Timmverse but not related to it (should I watch it anyway? Is it any good?)

So, having all of this in mind, what is the preferred watch order? Should I mix some shows based on their release date (The New Batman Adventures/Superman TAS)? Should I maybe pick up Lobo/Gotham Girls?