The RCBS Rockchucker deluxe kit is pretty complete. A great solution for the guy who has intentions for "reloading". Handloading is something a bit more aimed at precision results. The RCBS gear is excellent, at least the Powder Measure and Scale. The press is very good, but a bit small for XL magnum rifle ctgs, the RCBS hand priming tool I owned way back when was a PITA to change shellholders on. The Speer loading manual is not one you would buy on its own.
So, whataya need? Dies... Shellholders to fit your cases, An RCBS Checkweight set, to BE SURE of your powder loads IF Loading heavy handgun and rifle charges. (Being able to zero your scale to actual weight closest to your powder charge is essential.)
Your gonna NEED some Imperial Sizing Wax, If going for precision ammo to shoot tiny groups from the bench, you'll need a carbide primer pocket tool, or set.
Your gonna need a Very Good Loading Manual like the Lee, Berger, or Sierra if precision is your aim. As to die sets: Carbide dies for handgun are worth the money. RCBS are good, Redding are the best. For Precision Loading, Forster micrometer or benchrest dies with sliding case body are a great value. Redding's Type S bushing dies enable neck sizing variations which pay-off bigtime for precision goals. Redding Shellholders are the best, but the Lee shellholder set is a great value. There is also the Lee Deluxe die set with Collet sizer to consider.
If you shoot tons of handgun or 5.56, might consider selling your press and going with a Progressive setup. Nice to be able to make 250-400 loaded rounds per hour (once you get good at it) versus 30-40 made on a single-stage press. Worth the extra money to go Progressive. Dillon is the best, but Lee has a workable solution way cheaper.
If precision loading is your intent, study-up before you buy gear. Sinclair International, owned by Brownells for the last 10yrs is a great resource for gear and advice. Get their catalog and A Brownells catalog for good measure and Winter reading fun...
Probably don't need a case-tumbler to start off, just don't jack with dirty junk brass and keep your fired cases in MTM plastic cases or the boxes the ammo came in. You also want to keep a log about your gear and your charge specifics. Each box of your handloads should have complete info about Powder, charge weight, primer, bullet, date and any other notes that apply. on a label or card kept in/on the box.
Great hobby for the shooter and can really pay off with accuracy results if you are careful and have some scientific approach to what you're doing. Buy once, Cry once applies to loading gear for sure. Get what you need up front and buy the best you can, your firearms and family will be glad you did. Enjoy and good luck!