Your not holding that 4 letter word "DIET" to much importance, which may be your first mistake. Getting the mind set to understand that diet, exercise and a mental attitude (discipline/strength of will) all work together. Diet (from the Greek) means way of life and you really will have to make adjustments to your own if serious about losing FAT. Exercise alone is just one part of fat lost.
If you plan to run on a indoor trace, treadmill, outside tract, uneven ground,etc there are different shoe styles for this. Might suggest, as a starter, a cross training shoe for an all around shoe , which also can be used for general weight workouts in a gym/spa.
Don't know where you live, but here in SoCal there are many outlet stores, selling name brand training shoes. When a new line of shoe is introduced, these outlet stores sell the past models, which may be the big style 6 months old, at much lower prices. Suggest Big 5 stores, for a better selection. Costco and Sam's, at times, may offer what you need.
Keep in mind lowering the daily carb intake also, has work wonders for a lot of folks. Even gluten reduction has been known to help. Good Luck.