There are several places to stay in and around the Mburo NP in Uganda. Prices vary, but generally there are few bargains to be had. The Arcadia Cottages are a good standard, set right in in the park itself, near the lakeside. Mammals can be seen close-up here, even in the grounds themselves. The restaurant, too, serves fine meals and the staff very helpful.
Before joining any wildlife watching or birding tour, wherever in the world, try to establish if the travel company you are considering booking with operates in an environmentally friendly, responsible manner.