If you are learning B&W printing - go with the simplest, cheapest way first - trays.
Not sure where you are geographically located in the world but a set of 3 brand news 10x8 trays won't cost you more than about 20US Dollars.
Trays are the simplest easy to use way of processing prints - with the added advantage of seeing your prints magically appear before your very eyes - I have never grown tired of it
As a new starter its best to keep it simple.
Start by blowing your money on paper and chemicals

rather than a print processor.
Almost all the great photographs you have ever seen were produced in trays being gently rocked back and forth as the chemicals washed over a print.
If you ever need to move away from the humble tray it will not be a decision based on print quality but on other factors.
There are various sorts of print processors you could go for :-
Vertical Slot Processors (think developing trays turned on their side - good if you are short of workspace or find the chemical odours irritating)
Drum processors - a drum into which you place your print, then laid on its side, chemicals added and rotated - this can be as simple as rolling the drum up and down a bench to quite fancy devices with thermostatically controlled water tempering baths, lift mechanisms and motorised rotation of varying speeds.
These are most commonly used for colour work, as the tempering bath allows for higher processing temperatures and the drum is light tight so the user doesnt have to operate in complete darkness.
Machine processors very fast and very very expensive - mostly seen in pro labs - you feed the paper in, it is automatically fed through various baths and emerges about a minute later developed, fixed, washed and dried.
I used a few and found them to be fabulously efficient but rather soulless.
Good luck
Martin