When I go to slice my meatloaf it falls apart on the plate
Cook at a slightly lower temperature (until meat thermometer in center = 160 degrees). Let it sit before you cut it.
Cut with sharpest knife you can. 
Less breadcrumbs (or no breadcrumbs) -- you can try using oatmeal instead. 
Only one egg, and add some other liquid ingredients like tomato paste or sauce or Worscheshire sauce or even a little bit of Cream of Mushroom soup (not my fave but it works).
Add a small amount of water if desired.
Choose ground beef that is not the leanest kind, it holds together better. You can also mix different types (80/20 and 90/10) or mix another ground meat like pork in there too for slightly different texture.

Recipe I'd try: 
1 to 1 1/2 pounds ground beef
1/2 cup bread crumbs [or oatmeal]* (optional)
1 can of condensed tomato soup (other kinds work too)
1 egg 
1 small onion finely chopped (about 1/4 cup)
1 tablespoon Worcestershire sauce
ground black pepper
1/4 tsp salt
1/4 cup water

Mix the beef, 1/2 the can of soup, bread crumbs, egg, onion, Worcestershire sauce, salt and black pepper in a large bowl. Place the beef mixture into a loaf pan and shape firmly into desired loaf shape. Pour the rest of the soup over the top of the meatloaf. Bake at 350°F  for 1 hour or until center reaches 160 degrees. Let stand for 10 minutes before slicing.