I reload both rifle and pistol cartridges, for rifle I reload .223 Rem, .308 Win, .260 Rem and 7.62x54R. Pistol cartridges I reload are .38 Sp/.357 Mag, .45 ACP, .380 ACP, 9 Makarov.
When I began, I followed a suggestion from a friend to start with a single stage press for a couple of reasons but the main reason is to see if it is something you will really do and enjoy before investing a lot of money in a turret or progressive press.
Although I have only been reloading for about a year and a half, I think the best place to start is with straight walled pistol cartridges (like what I have listed). They are very easy to get started on, relatively inexpensive and you don't have to lube the cases before sizing because they are usually carbide dies.