Keep up the weight training. Very important.
Alter your diet and use MFP to track (you can still stick to sw points/whatever if you want). Aim roughly for at least a third of it to be lean protein (aim for approx 100g per day though you may not always manage it), no more than a third carbs (but avoid processed/refined carbs) and a the rest fat (the good kinds, ie nuts, natural yoghurt, olive oil, avocados etc...not crisps and chips 
).
Introduce high intensity intervals to your exercise regime. Any cardio is fine for this, it doesn't have to be running sprints, you could swim, skip, cycle, do burpees. These will burn fat. Typically the intervals would be full out effort (eg sprint) for say 1 min, followed by active recovery (walk/gentle jog) for 1-2 mins. The timings depend on your fitness level - the fitter you are the longer the effort the shorterthe rest and vice versa) but the principle/effort levels remain the same.
I find a great way to train is do a set of your weights, eg chest press, then instead of a rest between sets, do some high intensity cardio, eg five-ten burpees. Rest if you need to after that. Rest after 3 sets of each. Then move to next weights exercise, eg 1set tricep kickbacks, then do 10 squat jumps. The idea to get your heart rate right up with the cardio, but not let it drop too much by doing weights in between. 3 times a week of this should show results.