Your Recommendations for BEST Greek & Hebrew Resources?

The Bible was written in Hebrew, Aramaic, and Greek. There are standard editions of these texts based on the work of scholars at comparing the various manuscripts that have come down to us, trying to reconstruct the "best" text. Generally these texts are available in the Logos ecosystem. If you have the skills in the original languages, it is by far best to work from these texts.

But it sounds like you are not yet at this skill level. Logos has an extensive set of "data sets" that tie many popular (including especially the ESV) to the original languages. Generally these data sets are most economically available in base packages. With Logos 7, there seem to be three ways to get them.

1) The traditional way of "owning" your software for as long as you want to use it. To do this look at https://www.logos.com/product/121388/logos-7-starter-feature-set for the basic features. But I found that I would rapidly want the full feature set (that is advertised on the side as an upgrade to the link provided)

2) The whole "software as a service" rental model is provided as well. To thus "rent" everything would be via "Logos Cloud". They seem to have a free month trial version available, but I would want to look at the full details at https://logoscloud.com/

3) There is also a more mixed version where you the "books" in your library as well as "renting" the current features - including those being developed for future versions. This is called "Logos Now." Since I already have a decent library, it is the way I have gone. More details are at https://www.logos.com/now

Because these resources do grow in usefulness with the linking provided between them, most of us have found our libraries grow at an extensive rate. Generally the most economical way to grow your library is via the various base packages and "Library Expansions". All the options are more than a bit confusing. A generally decent overview is available at http://community.logos.com/forums/t/129632.aspx from one of us forum users.

Unfortunately I am not always exactly up on what exactly can be done with exactly what features. I know a bit about what I can do with mine.... In general, check out the videos at https://www.logos.com/Logos-pro#greek-and-hebrew-tools .

What you are asking for is called morphological searches in Logos. For the NT, I currently have it set to use Nestle-Aland 27th edition, but was able to also do this using the ESV Reverse Interlinear for a few sample searches on the desktop app. I know nothing about the mobile app - I am old school and carry around a Laptop running the Desktop app instead of a more mobile device....

As far as additional texts, anyone who works with the Greek and Hebrew will sooner or later need the standard lexicons for these languages. They are available in a bundle at https://www.logos.com/product/5228/bdag-halot-bundle . In addition to being expensive, they are a bit cryptic in how they condense so much information into relatively short articles on each word. Admittedly there are easier and cheaper dictionaries, but if you can use these, they are generally worth it.

But really, I strongly recommend you look around the training videos I linked above to see what resources they bring up. See what would be useful to YOU.

Since you asked for the BEST, here are the industry standard best texts and lexicons.

Greek Text - UBS5

Greek Lexicon - BDAG

Hebrew Text - BHS

Hebrew Lexicon - HALOT

They are not necessarily the best for you, however. They are expensive and very technical. But they are the industry standard texts and lexicons. 

just wonder why you need the Best if you just wanna do Basics?