Times Square is a huge tourtist area... so you wont be the only one walking and looking up at all the signs.. buildings.. jumbo screens.. i can go on. Dont get forget to bring someting back for the kids... they have a mega Toys R Us there. It really can be wonderfully overwhelming... but it makes you want to come back for more.
Plan out your NYC visit... go online to find out more info... especially for shows.. or tours.. and shoppingggggggggggg of course .
You will feel safe..... NYPD is right in the heart of Times Square. You will love it.

Have a wonderful time.