The one thing you don't specify is the most important!
How much weight are you planning to shift?
If you're not moving far, then several journeys with a smaller vehicle will do you. If you are moving a fair distance, then you'll need something bigger, or need to hire the small vehicle for a longer period perhaps.
Depending on what license you've got, will determine what you are entitled to drive.
Also⇨ How much help will you have? Shifting light stuff is all very well, but shifting beds, pianos, bookcases, cookers, fridges, washing machines etc etc, will put considerable strain on your back. No use being macho about it. Lots of lifting isn't fun in any language.
So my advice would be this. If you have a lot of tall and heavy objects, and your licence will cover you, then go for a 7.5 tonne vehicle with a tail-lift. These are real workhorse load carriers, and the Iveco Cargo is probably one of the most popular. The tail lift makes loading and unloading at the other end a pleasure rather than a pain.
For a smaller but useful size, the Mercedes Sprinter, or a Luton based body Ford Transit would be my choice. Most 'vans' don't have the height for furniture removal.
But your first priority is to calculate just how much stuff you've got to shift. Only then can you make a sensible decision on what you need to hire.
Finally, hire from a reputable firm, and make sure that they (or you) have got breakdown cover for that vehicle. Hiring the cheapest old nail on the block can go awfully pear-shaped when that 'bargain' you've hired, grinds to an unspectacular stop halfway through your move, just as the heavens open.