Not sure where you are or how big a garden you have. I live in a part of the country that gets late frosts and cold winters. The blackcurrant called Ben Lomond is ideal for this because it actually likes those conditions and doesn't do so well in warmer climes! It is also good because it naturally grows in an upright shape and so takes up less space.
Boskoop Giant is another good old fashioned one but it is a big plant, as its name suggests.
Recurrants, being treated like gooseberries, tend to grow and grow so they take up more space than blackcurrants, which get chopped back by one third each winter. I only grow Jonkheer Van Tets but three bushes give me enough (OH would say MORE than enough!) for jams, jellies, pies and compotes. Birds steal a lot but as I don't like the idea of nets (lots of accidents with young birds in the past) I just let them have their fill. They soon tire and move on to something else.
All in all, each bush of both types of currants, will need about 5 feet of space when you take into account picking and pruning space.