Well, some basic things for starters...put Thorax Hives on the Tyrant, and the Tervigon/Tyranofex.

Use Electro Grubs, it is too dang useful not to have.
Secondly getting some Shrouding (Venothrope, or Malanthrope) is a priority, and this becomes greater, as the points increase. I really like Tyrannofex, Acid Spray, and Thorax Hive. I normally add Adrenal as well.

The lower the point size, the bigger the impact.
Tervigon is hardly a bad choice, but you tied up a lot of points into a x30 Brood of Termagants, you could run it as a
HQ choice, until you obtain a second Tyrant.
That frees you up to split the Termagants into several smaller units, and or use some Broods of Hormagaunts to Screen the Big Bug.

I don't know just how useful a Neuro is...I would likely just split my Zoeys into multiple Broods until you can fill the slots with Shrouding, so I get more
WC, and extra rolls on Powers of the Hive Mind!
If you want to keep a "Troops" Tervigon, then I suggest you purchase Hive Commander for your Warlord, so you can Outflank her.
Tyranids are a hard army to get to know, so it will get easier.

Just remember to find Synergy between units, Nids are all about Synergy.
Good luck! And welcome to the Hive Mind!