Best chess analysis software

I use an ancient (and cheap) version of Fritz (Fritz 10), which allows me to create chess databases and to deep analyse a game with whatever analysis software I want (like Stockfish).
I am also very font of using the function "analyse threat."

I rely on the interface of the old Fritz 10 and use the program Stockfish, which I downloaded from the net.
When I play a game on Lichess or Chess.com, I run a fast analysis and download them to distinguish the most important phases of my game (opening phase, middle game and end game) and the landmark mistakes - deviations. 
Then, I copy my game onto a Fritz database and open it on Fritz interface. Afterwards, I start playing Bak, my game and use the notation to add notes and diagrams. 
Also, I use the unlimited analysis function to make Stockfish analyse a position as deep as possible (over 35 moves). Having understood when and how I made a mistake, I will run the "analyse threat" function to understand why the computer proposes a move and where this leads.
So, using the "analyse threat" function is very important; for me, it constitutes the other half of computer analysis and is the only way to understand why a proposed move has to be chosen instead of another.
"Analyse threat" can be found in Fritz's drop-down list when we right-click on the analysis board. It can also be found as a cross in Lichess on the right side of the analysis board on the upper part next to the evaluation number or by just hitting the X key.

If you’re serious about improving your chess openings, you might want to check out AiChessCoach.net. It’s free and super easy to use—you just enter your username from Lichess or Chess.com, and it’ll automatically pull in your recent games (up to 1000) and analyze them. It gives you personalized recommendations and points out repeated mistakes to help you level up. It’s been a game-changer for me, and I thought it might be helpful for others here, too!

Stockfish is one solution that can be used by both categories (budget-conscious and advanced players). Combine it with SCID or Arena GUI for a budget solution or go with Hiarcs Chess Explorer for advanced players. Fritz, Lichess analysis, and chess.com analysis are some more options that can be considered.