I also recommend at least one printed manual for the handloading techniques and theory, as well as the load data. I like Lymans because they have excellent instructions and articles, plus they give data for cast as well as jacketed bullets. But then I like to have the manual of the manufacturer of the bullets I use most, so I have Hornady, Nosler and Sierra. Hornady is nice because it has separate sections for 5.56x45 and M1 Garand .30-06. Then I always xref with the powder manufacturer and Hodgdon has one of the best online.
I eventually added QuickLoad to my tool set for exploring various bullet types and alternate powders (back when all components were scarce).
The 55 gr FMJ is easy to load for. Just be sure to get decent quality bullets like from Hornady (usually can get them for under or near $10/100). Bulk, no name or milsurp or pulled bullets are junk and will not group well. Waste of powder. For powders, H335 is kind of a baseline for 55 gr at 25.0-25.3 gr. I get better accuracy with IMR 4166 (very accurate but filthy), BL-C2, and CFE-223 (amazing all-around choice), but since I mostly shoot 55 gr at 100 yds or less it is splitting hairs. I'm happy with any of those loads for short range. For accurate target shooting at longer distance I prefer the 69 gr or 77 gr BTHP using Varget or IMR 8208XBR, or CFE223.
For the 115 gr FMJ I would look to powders like Power Pistol, AA5, Unique or Universal. Speer is associated with ATK (Federal, Alliant, CCI, etc) so it will be heavier on the Alliant powders. Lyman, Hornady, Nosler, and Sierra will have broader powder selections.
In your situation I would recommend at a minimum the Hornady print manual and the Hodgdon online load tables (Ramshot also has excellent online data but fewer powders). But I would highly recommend adding the Lyman manual as well. Hornady tends to have quality bullets at prices lower than Nosler and Sierra. But if you go with their bullets then I would get their manual instead of the Hornady.
Just as a side note, the Lee manual has excellent articles, but the load data is reprinted collections from multiple bullet and powder manufacturers, but does include cast and jacketed. Like the one booklet per caliber, the Lee Manual is way out of date in terms of newer powders and bullets.