I use tite bond and elmers wood glue. Very thin layers of tiny dots help prevent squeeze out. Also have pin nailer. For clamping I often use large piece piece of 1/2 ply with old tee shirt on it, lay face of project on tee shirt, backer on top then another large piece of 1/2 ply on backer and a couple of bricks, cinder block or rail road rail pieces on top for weight. Not very successful with CA glue. Seems my fingers want to stick together more than the item I am trying to glue up.
Larry