Slicktrick, I've got mostly Lee dies and they work fine. But the other brands are a step up in terms of accuracy. And in some cases you get spring loaded decapping pins which work well for handgun ammo in progressive presses. But that's for later. In the meantime you can load all the calibers you mentioned on a single stage setup just fine.
The dies are standard for most of the common sizes with a 7/8-14 thread on the outside. Bigger cartridges use the next size up standard which is 1 1/4 inch thread. But you won't need that unless you get into Sniders or .50BMG or others like that which won't fit into a 7/8 die body without turning the threads into a Slinky....
For your needs I'd say that a single stage will do nicely. Even with the .45Colt loading with a nicely set up single stage with the right support equipment you can load around 150 to 180 rounds an hour once you're off to the races.
For the press I'd suggest something other than Lee. They work but I find that the levers on the others don't seem to need as much force. And that does count later on. And because a single stage means lots of die changes to avoid constantly setting them each time you put one in I'm a fan of the Hornady Lock N' Load press that uses bayonet bushings that you buy in bulk and install on each of the dies you own. In bulk the bushings are about $5 each.
For cleaning I had a tumbler and tried it out. I found it was messy and didn't clean at all well on the inside of the brass. Based on writeups on the web I went for an ultrasonic cleaner. It worked marvelously and the brass comes out super clean inside and out for the bigger sizes and mostly clean inside on things like .38Spl and 9mm. Since then stainless pin media and tumbling has become popular but I still find that the US cleaner works more than well enough for my needs and I don't need to worry about rinsing out the pin media.
Beyond that I'd suggest a good reloading manual and looking on You Tube for "beginner reloading". There's oodles of good videos showing all manner of presses. They all discuss the various items you will need and how they are used.
And in fact I'd search for videos of the presses you are considering buying when you get to that point. Watch all the details of setup and use to see which seems simpler and easier to use to you. If it seems simpler and has good features that are obvious then it'll be a press you'll like.
The one thing you will want is a good sturdy bench or desk. Wobbly tables or flexible top surfaces and reloading presses do not make for a good combination.
A modest setup does not need to take up any more room than a desktop computer. And with a bit of thought the whole setup can fit into a single medium size storage tote when not in use.
Likely you won't save money. Most folks find that it just lets them shoot more for the same cost. But that's a good thing too.
