I'm sure you've seen on popular tea websites option for joining a "tea of the month" club.  While a fun option, usually this is for a year and can be pricey depending on the teas you wish to get (from basic to premium blends). 

However, I recently found out there are tea subscription boxes just like my Nerd Block or Loot Crate subscriptions!  Perhaps this would be a good option for your as well?

Some Wellness Subscriptions advertise the inclusion of tea leaves.  However, I prefer to stick with my leaves instead of untried food items.  I've already tried a few food boxes, and I was not overly impressed. 

My first subscription is Timely Tea, a monthly box which advertises "a loose leaf tea subscription box sent straight to your doorstep! Enjoy 10-15 cups of three different flavors, a tea infuser, and tea goodies!"​  They offer up three samples & one goodie item.

My second subscription was to Teabox.   They advertise "incredibly fresh & delicious teas
chosen to match your tastes using data science."   Each box offers three samples.  They come wrapped in fancy paper, and Teabox has a very well put together website that allows for additional shopping, reviewing, and connects to their blog.

Timely Tea's website is very straight forward and is solely for starting a subscription.  Teabox's website offers a shop to try different varieties of tea.  It also allows you to review selections.  I like Teabox's more interactive website and blog. 

NOTE: I only kept my subscriptions a couple months.  I find its better to know what your purchasing versus leaving it to chance (most times).  While I sampled some teas I liked, I sampled more teas I disliked.