I keep shrimp (Amano and Cherry) in a tank with other peaceful tropicals (tetras, corys etc) and find that one of the most important things you do need to do is watch your filter intakes.
I have an internal filter, and find that putting the fine 'wool' filter over the intake vents (squeeze it over the normal sponge that fits in the filter) this works well, as shrimp do tend to feed on the stuff on the intakes. The wool acts as a good prefilter too.
Gale - don't worry about your shrimp not realising Hikari Crab Cuisine is in the tank. Once they have had a piece of that, they turn damn vicious next time you drop it in!
Mine swoop on it as it's falling through the water when I drop it in, like small hawks! And woe betide any shrimp who tries to share! It's mine, mine, mine, mine!!!!
One thing though - shrimp are dirty little beasts (even if they do scoff all your algae) and a good filter and a regular vaccuum is needed for these little beasts!
I must admit though, they are very amusing and I wouldn't be without them now!