(Ah, the older and wiser one beat me to it!
)
<div></div><div id="QUOTEHEAD">QUOTE</div><div id="QUOTE">I'm hoping it won't interfere??</div>
It all depends...
It sounds to me as if you do a fair bit of cardio altogether. Unless you are starting with a fairly high bodyfat ratio (which I somehow doubt), making gains in muscle mass will be pretty darn difficult with all that cardio going on.
Ultimately, it will be down to how many calories you are burning compared with how many you are consuming. You'll need to have a surplus of calories in order to grow. Too much cardio will make this more difficult but obviously not impossible if you eat enough.
Work out how much you need to consume to maintain your bodyweight with all that cardio and then add 2-300 hundred calories on top of that value. Bear in mind that it is very difficult to add lean body mass without some fat, but keep an eye on things (and use the scales) and adjust your food intake accordingly.
If you haven't done any heavyish lifting before (ie. 10 rep down to 5 rep loads) you will need to take a month or so to really learn good form and get into the groove for each exercise that you do. As I'm sure you are aware, lifting can be dangerous so learning proper form is essential, especially in things like squats and deadlifts where you will be able to lift the most weight.
Once you are underway, you will no doubt find that you make some quick strength gains as your body adapts to lifting, but real muscle growth will take somewhat longer.