Africa hunting varies quite a bit depending on the country you choose. If you want a nice vacation and daily trophies without too much work then South Africa might be for you. SA hunts are almost all high-fence operations but some of the properties are huge. Probably most guys pick a SA plains game hunt as their first.
Namibia is mostly huge tracts of private property low-fence hunting. Same for Botswana now. I usually recommend Namibia for a first time traveler to Africa.
It is a long and expensive airplane ride to Africa. You will normally be able to have all of your trophies shipped home, but forget about meat. It is a worthwhile experience.