
Hi,
No there is only one 'type' of dalmatian - just good and bad examples! This is where you have to do your homework to find out which breeding you like the look of best, and which kennels consistently turn out the type that most appeals to you! (An important thing is to buy only from a breeder who BAER tests all their stock.)
Both males and females are generally good with other dogs and are fine offlead - if, as you say, they are properly trained (and have been bred with temperament in mind). The dogs can be a bit on the bumptious side with other dogs, but no more so than any other breed.
Hope this helps.