I'd also suggest a cheap (like $30-60) aluminum darbuka. Amazon link. There are other sizes, but that's a sweet spot imho.
The darbuka/doumbek is a simple drum to play and awfully durable. The two basic sounds (the doum, and the tek) are a good low/high sound that makes working on simple rhythmic patterns easy and you'll start to develop the left/right skills at the same time. Add a foot tambourine and shaker and you can start working on 4 way coordination.
Sticks and a pad are a good start, but they can get boring. Adding a cheap hand drum is a good way to keep music from becoming a slog through a technique book.