Well, this just off the top of my head, so double check the costs...
HQ: Winged Dakka'rant, Thorax Hive (Electro-bugs) 240
Troops: Termagants, x20 (I like Spinegaunts, but vanilla work fine.

) 80
Troops: Termagant Brood, x20 80
Troops: Hormagaunts, x15 75
Troops: Hormagaunts, x15 (I reserved 10 Hormagaunts, and converted them into "Devilgaunts" (Termagants, with Devourers) (that's 80 more points to field them, and that'll "unlock" a Tervigon as "troops)
Troops: Warrior Brood, x3, Strangle Cannon 100, adding Deathspitters is +10, rending Claws, the same...so 100 to 120 points
Fast Attack: Gargoyles, x10 60 points
Heavy: Dakkafex, (
TL: Brain Leeches) 150, 165 with Adrenal Gland...
That runs 760, without the Devilgaunts.
Add a Tervigon, Thorax Hive (Electro-bugs) for 205 (Should be cheap on E-bay, Tervigons are currently Very unpopular) that's around 1045
I'd look at adding some Zoeys (Zoanthropes) and Venothropes (Venos) Styles vary, I prefer two Broods of Zoeys, and one Veno. Many prefer it the other way round.

That adds a minimum of 145 for two Zoeys, 140 for two Venos.
I'd then toss in a second Dakkafex. That puts you at 1340 ( add or subtract to get you point level).... and you can win as many as you lose. As you play you'll find what sort of list works for you, and you can add in Big Bugs to match your style.
The most popular, and most powerful addition is a second Winged Tyrant.

(and that puts you at 1480, add Hive Commander, and consume the galaxy.

)
My personal "style" is Lots of Troops. But 7th has moved away from that build strategy. But you can still win a fair number of games by just plain dominating the table space.
I hope this helps some. This is based on the Swarm Box, a Hive Tyrant, and a box of Warriors. Good luck! And welcome to the Hive Mind!