Welcome aboard! It's easy to run with or without miniatures. If you don't have any miniatures, just sketch things out on scratch paper like a coach planning a football play, but rely as much as you can on visual descriptions.
The exact distances aren't usually all that important, so you can generally abstract movement issues down to "width minus five rounds" to run a long way under fire, or "if you make a Dodge roll with better width than the attackers you get across the street and under cover in time."
For weapon range, the only REAL question is "am I close enough to get a bonus, or far enough to get a penalty?" That leaves a lot of wiggle room.And you can abstract range issues to things like "short range for a rifle but long range for a pistol," "close combat" (i.e., close range for firearms, within melee distance), "short range" (effective range for firearms, and grenades, requires a round to move up for melee), that kind of thing.
The key is to keep the descriptions and action moving, keep things hectic and chaotic and suspenseful, and don't get bogged down in math.
One other thing you may want to bear in mind: Godlike can be a lot less forgiving than D20 games. You don't have a buffer of hit points to warn you when you're in danger of death; it's pretty much a matter of "has my limb been shot off or hasn't it?" As a GM, I recommend using the Suppressing Fire rules by default for NPCs; they tend to result in forcing players to keep their heads down without every successful hit taking a PC out of the game. (And if the NPCs are a bunch of riflemen without a machine gun, for their suppressing fire dice pool just use 2d for the first shooter plus 1d per additional attacker.)
You might also let player characters "buy off" injuries by spending Base Will; say, burn a point of Base Will to reduce the width of an attack by 1. That's still a steep price to pay, since Base Will doesn't come back on its own like Willpower, but most of the time a player will be glad to pay it and then will be a lot more careful before charging into the open next time.
I hope you have a great time with the game.