1: Money is not an issue for us therefore we do not think our max dollar amount is expensive. Other tasks would be normal; email, music, movies...
2: Screen size doesn't matter period! Mostly concerned about the memory, hard drive, processor, video card, etc.
3: I don't know what kind of router we have because I am at work an unable to look at. But I will glad take advise on what type of router I should have. Network bandwidth I will have to check into also. (I don't know much about these details, this is why I am here looking for advice, not everyone is a computer wiz.) Distance might be an issue because the dart board is so big that its downstairs in our basement (walk out basement not underground).
Thank you for pointing out the flaws in my question, please understand if I knew what I was doing I wouldn't have asked.