If you are in a BT Infinity area then get Youview from BT on a package that includes Infinity/Phone and 19 extra TV channels. Then add the HD extra bolt on at £3 a month and the Kids extra bolt on at £3 a month. The kids bolt on gives you kids on demand plus a few extra kids TV channels. I not got the kids bolt on as there is no kids in your house. Also if you like music then the BT music bolt on at another £3 a month is good. Than you could oif you want add the BT Film/Box sets and £5 a month. The BT sport HD is included in the HD extra pack at £3 a month.
You wiill also be sent out the new look BT Youview box were as I got sent out the old style Youview box last month when I upgraded my TV package. I was alrady on Infinity.
This link is probably the clearest
You can see that with Infinity there are a lot more options and addons available than for those without.
So yes you can get a Youview package with that estimated broadband but you would not get the BT internet channels so it may not be as complete a package as you want for your family.
That means for example you would not be able to get the live Kids channels added to your basiic (Essential) package. The Kids on demand content that would be available is a much more limited set of on demand programmes.