Welcome to the Forum LTL. You will get a lot of advice from the great minds here, and I would venture to guess there are hundreds of hours of experience to draw from.
You need to be careful of information overload, its quite easy to fall victim to. I, as have most others, started with an RCBS single stage press in 1971 and graduated to a Hornady Progressive and Redding turret (different reasons for different calibers).
So, here is my 2 cents worth.
I would start with the basics of:
1) A single stage press. Many good ones on the market, mine is an RCBS rock Chucker from 1971, still looks the same as today's model.Hornady also makes a great press.
If you look at some websites such as Midway USA, you can buy "kits" to get started with that makes things much easier in the beginning and save some bucks on buying single pieces of equipment.
Hornady $290.00 includes press, lubricant (same as I use) powder scale, primer, powder hopper and powder trickler, etc.
https://www.midwayusa.com/product/1012998011?pid=749997
RCBS has the same type of kit in a couple of configurations running from $191 to $450
https://www.midwayusa.com/s?searchTerm=reloading+kit
2) A set of 38/357 dies. Same as the press, many brands, equally good. To start, I would keep with the same brand as the press (i.e. RCBS press and die set). Hornady is nice because with their press they have a quick connect system that makes changing dies quick and easy.
3) A reloading manual. I use Hornady and Lyman with a couple of other publications for specific calibers. You will find that each manual focuses on different bullet types and manufacturers, therefore they are similar but different. As an example, I use the Hornady book because I use Hornady bullets for all of my pistol calibers, Lyman does not cover the same weight and configuration, Hornady is specific to their bullets.
However, I use Lyman because they have a much broader listing for cast bullets of which I also shoot (Hornady is very limited). I shoot cast from my Henry calibers as well as 45 Colt and some 38.
So, I would suggest you start with one caliber, an easy one to get components for (except primers,the are tough for all calibers). Use that to familiarize yourself with the discipline of reloading.
Looking at your calibers, I would suggest 38/357. You can use the same die set for both calibers, just requires some minor adjustments when you change. With this caliber, you do not need to case trim, so that is one device off the list for now.
After you pick the Caliber, pick what bullet manufacturer you are going to load, and look for a manual that will cover that specific bullet type and weight (cast, full metal jacket, hollow point, semi jacketed shot nose, round nose, square nose, etc)
Brass. If you do not have any brass yet, go on the hunt for good brass. A lot of us like Starline Brass. Right now they are out of stock on 38/357 but you can back order them on Midway.
Once you settle on all of the above, look at your manual, pick one bullet type to start with, look up the powder recommendations in your manual and pick one (you may have to hunt for several types of powder until you find one in stock that you can order).
Last thing is primers. Best of luck. Primers are the rarest of commodities right now. Be very cautions as there are a ton of phony websites that have popped up claiming to have them in stock. If it sounds too good to be true, it probably is. Stick to major sites like Midway, Brownells, Sportsmans warehouse, and some of the others.
At any rate, that is my 2 cents worth. Once you make your decision, take some picts of your setup and post them so we can follow your progress.Once you get started, you will be hooked.
Best of Luck !