What I use to practice at home is a IRig (HD2) into an ipad with amplitube installed. Either use headphones (Sennheiser HD 25 in my case, other options are available) or connect a small amp.
I have a Kustom defender 15h amp and cab, not ideal for bass but good enough for home use. However I can recommend the Roland Cube for bass, very nice, tiny, many many options.