Welcome to the wonderful world of Escorts, hope you like frustration. At least you got a 61-3. The earlier models had a die-cast frame that left a bit to be desired.
As to the field stripping:
Clear the weapon. Look for the recoil spring guide. This is a small nub at the muzzle directly over the barrel. Push this in with a punch, don't drive it, just depress the thing. While doing this, grab the front sight and pull it up from the slide. Once you do that, the slide and recoil spring assembly will slide off the frame.
That's about it, don't go any further. Douche out the thing with solvent and a brush and call it a day. Resist the urge to take off the sideplate. Dangerous things lurk there.
How well does it work for you? I've owned all three versions, and the reliability sucks. Sometimes you can get a complete mag off, sometimes you can't. My first version 61 wasn't even worth a s--t as a paperweight.
G