Aw, that's really nice.
Important point: will you know what family you're about to face when making yourteam? Like: "And next you face Joe, who will be using a Magic team!" Because if you know that when you select your pets and slots for the battle, it's really helpful.
The most useful thing you can do to prepare yourself, I think, is to spam the PvP queue with your selection of pets until you're bored. You will lose most of your early games, of course, but the experience will teach you a lot.
Consider this current tier list for PvP:
https://www.wow-petguide.com/PvP/49/PvP_Pet_Tier_List
Think in terms of combinations of two pets that have synergy - that feed off each other's strengths - and coverage - that are either strong or tough against each family.
This would need thought, to construct an ideal roster of 6 ...
Jingles + Anomalus is a very nice combination. Jingles covers Beast, Mech, Magic, and somewhat Flying damage. Anom has Magic, Beast, Dragonkin.
Sandstorm and Darkness are insanely overbuffed this expansion, so maybe a H/P Living Sandling and an S/S Qiraji (or an Idon instead of the Qiraji, so you have the Deflection for other purposes) for the Sandstorm.
In this context, there's a lot to be said for the Stormborne Whelpling, that has strong magic damage one side and strong Mech damage the other. But do you have enough coverage of Magic with Anomalus already? Mm, interesting. OTOH, beginners without avoidance will just be blown away easily by Mana Surge ...
If you have Twilight, Darkness/Surge of Light combo would probably be a shock to someone who doesn't know about it
There are all very mainstream, meta suggestions that are easy to play and won't let you down.
You can then consider the relative strengths of the Families in general. Critters and Aquatic are weak. They're hard to get Family Brawler achievements with. So don't focus too much on beating those. Mech, Humanoid, Undead are strong families - and Magic, now there is Anomalus.
I think if it were me, I'd have either the Fel-Afflicted Skyfin or an S/S Fiendish Imp in my set somewhere to mess with my opponent's well-laid plans, but using the swap does take a little experience and confidence. Again, the more real PvP practice you get, the better. I would also find some way to abuse the hell out of the Undead racial, because that's the way the game was when I was first learning.
Sorry, I'm just thinking out loud so far. Just thoughts. No conclusions. But I may think more about it ...
Edit: I just watched Kovok's latest video 10 PvP pets to bring into Dragonflight
https://youtu.be/vkVPD0LrJe0 and it occurred to me that a team he mentioned at the end of Jingles, Anomalus and the Foulwing Buzzer might well run rings around most basic-PvE teams all on its own, if you are used to its tricks. I see your Foulwing is B/B, but in this context that's not terrible, since 280 is still fast against your expected opposition and it's a flyer, so you can get your swap in early. I also see you have Twilight, so that's good. Choice between S/S Qiraji and (Idol or perhaps better Void-Scarred Anubisath) will depend on your comfort level at using Blackout Kick effectively. And then the H/P Living Sandling,