Ahmad and Impra are both several cuts above Twinings, not expensive (especially as bulk loose-leaf) and can be found in standard grocery stores, or ordered online.

If you've a specialty tea shop nearby, that's all but certainly better, though it can be pricey.

You'll find there's a whole new world out there, and may regret discovering a taste for real whole-leaf teas.

Greens, whites, blacks, fermented, oolongs, darjeelings, matcha, gunpowder, pu'er, etc.

There are also herbal teas, such as rooibos, not made from sinchilla (tea plant), but also tasty.