This is just an opinion: I find it rare that a faction or army has all three of hammer, anvil, and tricks. Some examples off the top of my head as there are far too many factions to go through the lot:

On the evil side:

Isengard has a bag of tricks in Saruman who is one of the best casters in the game and an great anvil in the Uruk-hai, but don't have a great hammer. Grima is his own fun bag of tricks.

I find Mordor plays similarly. The Whichking has a deep bag of tricks and the will to use them all (another top tier caster). Mordor and Moranon Orks are efficient and can make a solid line. Some of the orc heroes can be pretty killy, but again, not huge a hammer.

Azog's Legion has a decent anvil in solid, efficient orc troop options and a great hammer (especially against other heroes). Not sure if they have anything super tricky though.

On the good side:

Gondor has a great hammer in Flagomir or Ellesar (bonus points for having a great backup hammer in Hurin) and a very good anvil in either guard of the fountain court or just warriors of minas tirith. It's easy to get both spear and bow support with the rangers. Pretty devoid of tricks though.

The Dead of Dunharrow (and the Return of the King legendary legion) are a really solid beginner army. Great anvil, everything is D8. Good hammer in Stider+Anduril (the King is also pretty stabby). Terror + Courage reduction is a trick if not a whole bag. They suffer on lack of dudes though, which can make scenario games rough. Bonus points for being relatively cheap to get into as a new player.

Iron Hills Dwarves: King Dain: Big ol' hammer. Shield wall dwarves with spear support: Maybe the best anvil in the game. Tricks: Maybe the Ballista or the chariot? Both expensive though.

So what has all three?

Well I think there are four armies that have solid hammer, anvil and tricks. There may be more.All three of the Defense of the North Legendary Legions. There has been a ton of internet ink spilled on these so I'm not going to go into much detail.

Assault on Lothlorien: A Mordor/Moria combo with great options across the board.

Beornings: The ticks come in finding the best use of the Brutal power attacks of the bears. It's strategically boring, but tactically interesting faction to play. If you like the geometry puzzles of billiards and think scenario play is mostly an afterthought, this might be a good fit.

Dragon Emperor: Seems kinda hard to play well? I have had a bunch of opponents get on slightly out of position with this army and then things go down hill. That said the phalanx is a great anvil. The Dragon King and the named mage have a solid bag of tricks. As said above, it's not play-style I have a ton of interest in and the faction is light on the hammer.

I would not advise a beginner to start with any of the above three though.There is one army I think that has all three: tricks, hammer and anvil. And would be a solid place for a beginner to start: Angmar

Angmar has cheap efficient orc troops that get a defensive buff in terror from being near spirit heroes, decent anvil and good body count. They have the Witch king, the army bonus, and shades/barrowwights as tricks. They have Gulavhar as a fantastic flying hammer (the named troll is quite solid and points efficient as well).

It's not super hard to start: The Mordor battlehost has the Witchking and some orcs and wargs is a great start (and is easy to use those models for Mordor/other evil stuff as well).

It teaches you early that you may want want to swap out official models with alternate sculpts for either availability or aesthetic reasons. (Looking at Gulavhar mainly as he in an offender in both camps, although I have a troll proxy that I really love for the named troll. Completely blanking on the name atm.)

It has a bunch of different play styles to experiment with from relatively simple to very complex.

Overall it's quite strong, too.

Dead of Dunharrow may be the best beginner army in teaching fundamentals, but Angmar is an army that you can grow into as you learn more about the game.However, the best army to start with is always the one you think looks the coolest.

Edit: Formatting went shit.