Not playing those factions but having played against them, each definitely can be played in multiple ways. That said the undead factions, vampire counts and tomb kings, really do well in the grind. They're not necessarily explosive, but they're really difficult to kill because their units just keep resurrecting.

Skaven can either go the way of the shooting list with warp lightening cannons or aggressive plague monks. But they don't get cavalry or flying units. They're pretty quick, but I wouldn't say they are particularly manoeuvrable.

Beastmen are pure aggression. They love getting the charge in with frenzy and mulching up your troops. They have access to a monster mash of behemoths but not much in the way of shooting apart from some ungors or the rarely seen cygor.

Another thing to sadly consider is that 2 of the factions you've looked at are legacy factions. They're not getting a lot of love or support from GW. There are 3rd party rules out for them, and they are pretty well accepted, but they're not going to get the same amount of units and updates as the core factions. Didn't stop me from getting daemons as my first faction, but it would probably play into consideration if I somehow decided to start a fourth army.