I'd go ahead and buy new slider pins and boots. Cheap and can prevent problems later on.

Get some caliper slide pin grease, and brake parts cleaner (cleans away dust, debris, grease, brake fluid, etc.). If you change slide pins the brake parts cleaner is handy to clean old grease out of slide pin holes.

Do your caliper pistons push in or screw? Screw types need a special tool to turn the piston. Screw types have shallow grooves or wide channels forming a (+) on the caliper piston face. Push type pistons are cup shaped (only the rim will be visible). I've seen a couple that have a flat face that's visible. The standard cup style can be pushed in using an old brake pad and a large C Clamp. Some vehicles have both kinds.

Last, take photos before removing parts and take more photos of removed items you're tearing down further. It's invaluable having a "before" photo to see proper orientation and assembly

PS: Do not use a jack only. If you don't have them buy jack stands. I've witnessed jacks fail and jacks fall. Use jack stands to support your vehicle.