It's been a while since the review and also since my visit which must have been 2019 or so. Your main gateway is Bharatpur Airport although some people do take a "7h bus ride" from Kathmandu. I say that in quotes because usually these journeys take longer and high chance you get sick on the way. Do yourself a favor and fly in and out, I even had a flight connection from Lumbini to save so much time and hassle.
The village outside the park has enough guesthouses/hotels for the guests and dining is also easy. It's all planned for a safari. The safari, unfortunately, is very mediocre. Yay you are almost guaranteed to see the Asian rhinos which in this part of the world isn't that rare and you see plenty in northeast India but all right you are already in Nepal and for some coming here is more favorably than India so you want to experience the safari here, don't blame ya.
The safari jeeps go out every morning in a group of 12 or so. You will spot rhinos somewhere and maaaaybe a few other highlights but both days it was so boring and not enjoyable. I almost feel sorry for the guide not being able to show us anything. I definitely don't want to recommend this place if you have the chance for better safari areas, then again it is inscribed on the WH list so for some of us it's a must see then. Having said that, I think Asians (no racisms intended) will often rate this highly because they don't have chances to see others and this is a "normal safari tour". I don't find this part special and I suspect it's on the list for part us tourists don't see from one of these jeep tours.
No biggie because it was very affordable and "on route" if you add the Lumbini areas so it's easy to fit in and 2-3 days spent here are still quite enjoyable - just don't have high expectations.