@zwagner Hey Zoe, great to have you here. Welcome! Yeah, Basenjis are the best. Very much fun. A few thoughts... Where are you? Country, state, region. We don't need an address. That way we can steer you towards a breeder.
Generally speaking, more often than not, Basenjis come into heat late fall in the Northern hemisphere. Not always though. That said, we typically recommend contacting a few breeders well in advance. Get to know them and help them get to know you. Explore their breeding programs and health testing. Colors they breed. Will they be breeding this year or not. Can they recommend you to someone else. All of that. Typically you want to get on a waiting list for fall. But, ya never know... Ya could luck out and find a summer litter!
Basenjis are clean short haired doggies that don't appear to shed as much as other breeds. For some reason the myth that they are hypoallergenic and don't shed has propagated. Neither are true. The best suggestion I've seen here is to contact a breeder or an owner and see if you can meet or pop by with the person who may be allergic, and test their reaction to being around a Basenji before you get one. Save a lot of trauma and heartache for everyone, especially a pup.
As mentioned, Basenjis are a ton of fun. Insanely entertaining. Boundless energy. They love to chase things. They can be good with other dogs and breeds. Super affectionate in their own way and on their terms. They can also be a handful. Because they're smart they can get bored. When they're bored, or anxious they can get destructive and invent things to do to entertain themselves. Picture a 4 year old sitting on the floor in front of an electrical socket with a hand full of bobby pins and no adult supervision. Basenjis really do need a lot of supervision especially when they're young. Being around an older dog can help though. They're quick learners.
Hope that helped a little. Keep asking questions! 
