I would recommend IMR 3031 as a basic, trouble-free rifle powder, and Unique as an all purpose pistol powder. Though it has been years since I reloaded, it is something every shooter should do so they are familiar with the process. It is also a lot more fun if you have a solid workbench set up for it with all your equipment at hand. Some shooters reload not only to save money, but to increase accuracy over that of factory loads.
I start out with minimum loads and load one box. I keep a record book describing powder type, primers, bullet weight in grains, powder weight in grains, case manufacturer. Then I go to the range and try them out. I record the results on my targets and save them. Then I try increasing the powder to a medium load and go to the range again. Eventually I will have a reload that works for me. Often, that load will be somewhere between medium and maximum loads.
Here's a list of reloading equipment which I acquired over time.
1. Lee press
2. RCBS dies
3. Lyman scales
4. Lyman case trimmer
5. Midway loading blocks
6. Midway calipers
7. RCBS case lube pad
8. Neck and case resizing gauge (not a necessity but good to have)
9. Assorted small funnels
10. Powder trickler for more accurate reloading
11. Pre-measured assorted scoops for faster and not-as-accurate reloading
12. Thumler's tumbler for polishing brass cases (I have used regular white rice as a polishing medium)
For black powder:
1. Lee lead smelter (good for making fishing weights too)
2. Lee dipper
3. Lee bullet molds for the 50 - 70 Sharps and the .58 Enfield
4. Liquid Alox bullet lube
5. Wheel weights for smokeless lead bullets - plumber's lead for black powder REAL bullets
For reloading, I buy factory ammo and save the cases after I use them. It is good practice to store the fired cases in the original box, and then write the date you reload them on the box. I try to keep the original cases with their original box, i.e. I do not mix them up with brass cases from other boxes. Rifle cases are usually good for about 3 to 4 reloadings before they should be discarded. The way to tell they are ready to discard is a shiney band will appear about a quarter inch up from the case head indicating a thin area in the case. When I see this on one case from a particular box, all the cases belonging to that box are discarded.
Pistol cases may last longer due to lower pressures. I ruined a nice Walther P38 one time by hot loading Blue Dot powder. This blew the extractor off, and though I had it repaired, it just never felt the same again. Unique is a more forgiving powder than Blue Dot for pistol case reloading. Blue Dot is hot powder requiring careful measurement, so be advised. Do not use large grainy powder in revolvers. It doesn't burn completely and the unburnt grains will tend to cause jams.
Loading blocks are useful both as a stable location for your upright cases, and as a precaution against double loading a case. Never reload if you are feeling tired or distracted.
One thing I never understood or learned how to do was the use of gas checks, and so I never used them. I believe they are used for reloading lead high-powered rifle bullets.
Have fun and be safe!
Les