Hate to tell you this, but doing weights does not necessarily help you lose fat.
It can convert your carbohydrates into energy, to help develop muscle tone, but it does not burn fat, at least not in a quick fashion.

This is why I have not touched the weights since I returned to the gym a few months ago.
I have been working on cardio first, using running machines and the excercise bikes, as the initial priority is to burn calories and get my internals fully functioning again before I worry about toning my muscles or bulking them back up.

Weights are absolutely no use for losing fat without a controlled/balanced diet of sorts.

Weights are the last thing anyone wanting to lose weight, should be considering.

What rex is going to do with the dog walking and bike riding is far more useful than lifting weights, and probably even more useful than straight forward dieting.
Cutting out bits and pieces here and there, is a good idea, but full on dieting is not necessarily the healthiest thing to do.