Your bruising is normal, and everybody resolves bruising differently, and at different rates. Typically, it will be gone by 2-3 weeks after surgery, but this depends on the extent and severity of the bruising, as well as several individual factors. Sleeping with your head higher than your heart helps reduce any additional bruising from entering the tissues around your eyes, and will allow gravity to "pull" swelling and bruising away from the healing tissues. I ask my patients to not lay flat for 3 weeks after surgery. Ice is helpful in the first day or so after surgery, but is not of much value after that. Arnica montana is a homeopathic product that has been helpful in many patients, so much so that I use it in all my facial surgery patients.
Obviously, anything that increases bleeding (such as aspirin or ibuprofen-containing substances, including over-the-counter remedies) should be avoided 2 weeks before and after surgery. Elevated blood pressure can both cause or increase bleeding and bruising, especially in the very delicate tissues around the eyes, so lifting, straining, vomiting (don't take pain medication on an empty stomach), etc. need to be avoided. The same goes for activities that can rupture healing capillaries and cause bleeding and bruising in the first few days to week or two after surgery, such as pole-vaulting, tackle football, and trapeze sex! Take it easy--you know what I mean!
Some people have little or no bleeding and or bruising; others with the same exact surgery will have more. If you have a history of excessive bruising, this should be evaluated by your doctor or a Hematologist prior to elective surgery. Some patients who do bruise after surgery will have their bruising reabsorb internally, whereas others will seem to have it resolve by "coming to the surface." Neither is better or worse, just different.
BTW, cold compresses (wet ones) are NOT recommended as any dissolving sutures can be prematurely dissolved. In addition, water is osmotically drawn into tissues, causing MORE swelling. Dry cold compresses ARE helpful, so long as they are not applied directly to the eyelid skin (you can actually frostbite these delicate tissues), so my recommended compress is a bag of frozen peas applied over a dry clean cloth or gauze pad. You can eat your icebag when you're healed.
Keep your eyes well-lubricated while swelling may prevent complete lid closure at night--use Lacrilube or similar gel at night to keep your corneas moist, use artificial tears during the day until your lids close completely. Touching or dabbing at your eyes is NOT recommended and actually increases tearing. Good luck!