Getting a PS3 with firmware 3.15

Hey,

I am picking up an original PS3 with the PS2 backwards compatibility today and it is on firmware 3.15. I haven't been in the PS3 scene in a long time, so I don't know what the next step is.

Should I update to 3.55 OFW, and then to a CFW?

Which is the best CFW?

What is the difference between DEX and CEX and REX?

What are EBOOT patches, and do I need them?

Basically, I don't care about online play, I just want a CFW with the highest compatibility with games. The newest game I am worried about playing is NHL 13.

Sorry if these are common questions. I have read the FAQ and it looks like I will need to convert my console to DEX for highest compatibility, right? Or is that guide old?

I'm thinking this is probably what I want to install, right? http://www.ps3hax.net/2012/11/ps3ita...-4-21-arrives/

I would just like some extra confirmation on what I need to do, like a list of steps (ie. 1. Update to 3.55 2. Do XXX 3. Do XXX) and if possible, links on guides how to do that.

Thanks!