Welcome to AH.
I recommend taking your own rifle ( with at least 100 rounds: check scope, hunt, any left over your PH will appreciate). First because you are familiar with it. Secondly, taking your own rifle just adds more to your hunt and using Henry Rifle Permits makes it easier for the first trip with SAPS and their form 520. SAPS 520 is an intimidating 8 page form that only 4 pages, maybe, needed filled out depending on if kids are traveling with you.
Definately recommend Global Rescue travel insurance just in case the unfortunate happens.
Don't forget the meds. Pending on when and where you folks are going, I recommend checking with the CDC for vaccination(s)/vaccines you might want to get and don't for get the Doxycycline.
Plenty of photo's (not just hunting) for the folks back home to look at as you reminisce of your trip.
As far as trophies: shoulder mount, European mount, tanned hides as rug/wall/ bed(furniture) covers, etc. you can't go wrong. You'll have plenty of time to create a "man cave" (or an excuse to add a "man's room" to your home when you return) for current and future hunting trophies.
As far as travel agents or not. They may cost a little more to use their services, but they arrange your travel itinerary quick and easy ahhh for the most part. And you can get sometimes get better rates. Don't forget regardless of airlines sign up for reward points for future flight, travel continental or abroad.
Enjoy Africa, not just the hunting.