Hey all- welcome to the forum! You should find HST to be a great program for cutting, but like babya says, it's all about calories in/out- if you don't have a deficit, you won't lose, simple as that. If you're up for it, I'd think seriously about a 6-day/week program- I've found it to be best way to cut on HST, and I know several others in here who have as well.
If you go for this, alternate push/pull days (i.e., MWF=Push, TThS=Pull). You don't need to many exercises with this approach- no more than six per day. For example, your push days might look like this:
Squats
Incline bench presses
Standing presses (I like Arnolds or Cubans- especially the latter now that I'm rehabbing a shoulder separation)
Tris
And pull days:
SLDLs
Rows
Pullups or lat pulldowns
Bis
As to cardio, you need a solid 30-45mins a day if your priority is cutting. With the above lifting routines, you're talking about 1-1.25hrs/day. When you've gotten down to you can then drop some of the cardio, maybe 3x/week, but it sound slike your priority is cutting, so focus on that now.
HTH, and keep us posted!