Read Phb Or Dmg First

What Rules Should I Follow, the PHB or the ALDMG? Rules from an official D&D Adventurers League source, such as the Adventurers League Player’s Guide (ALPG), the Adventurers League Dungeon Master’s Guide (ALDMG), or this FAQ establish the boundaries for our current campaign. However, as a general rule, the D&D Adventurers League does not. Apr 26, 2018  The PHB and the DMG have a fair number of optional rules, some of which might help in creating a Middle-earth flavor. The options for Honor and Sanity attributes might be worth looking at, for instance. I don't have either on hand, so I can't think up any more examples off the top of my head. He should definitely read all three books before DMing, but I would recommend reading the PHB first. It contains most of the relevant rules for actual play, and it's also the material the players will be most familiar with, so ideally the DM should know it like the back of their hand. After the PHB, probably the DMG next and then the MM.

I am looking into using FG with my old tabletop group that hasn't been able to play together for 10+ years due to all living in different locations. I am trying to price out how much I would spend and how much my friends would be required to spend for us to play together again. We would play D&D 5e.
I will more than likely purchase the Ultimate license. It comes with the data libraries of D&D 5e SRD , D&D 5e Basic Rules , D&D 3.5E SRD, FATECore, and Pathfinder SRD libraries. I am not sure exactly what those are. Would I have to also purchase the PHB and the DMs guide in order to play? I would purchase some pre-made modules. What can you do without purchasing the PHB and DMG?
What would you suggest as a minimum investment to make sure everyone likes it and will continue to use it? I dont see my friends joining any random game to try it out, they would only invest the time if it was with people they know.
Thanks for any info you can provide.
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I was looking at some of the items' prices in the DMG- specifically the +1 and +2 shield. Per the FG DMG. A +1 shield (Uncommon) is listed at 112gp and a +2 shield (Rare) is listed as 838gp. If my memory is correct, in the PHB or DMG it says that rare items have a minimum of 5000gp in value. Another issue is the Adamantine Plate Armor. It is listed as 807gp, and it is considered uncommon. The regular plate is listed as 1500gp in the PHB.
Where do these prices come from and should they be considered official since they are listed in the licensed content? Or, should these prices be fixed to align with the posted price ranged?