You can get laminate blades for chop saws and mains powered plunge saws (e.g Festool TS55) but there is no equivalent for cordless saws other than possibly the Makita Eficut blades. You might want to try a fine tooth thin kerf blade such as the deWalt DT10640-QZ 165mm 40 tooth (the all yellow and black blade, not the construction blade which is yellow and silver) if that works with your saw as it works well on MFC and MF-MDF in my experience. A good, sharp (new) fine point hand saw such as a Bahco Barracuda 244+ 10pt works well for hand sawing. For jigsaws take a look at Bosch T101BIF (straight cut), T101AOF (tight corner cut) and possibly the T101BRF (down cut, straight cuts). The "F" (for "Folie" or laminate foil in German?) at the end of the model number indicates that these are laminate blades. I don't like the T101BRF at all, but the other two are good providing you use them with zero orbit (same goes for the BRF that matter - zero orbit)
Note that laminate is hard and blunts any blade quite quickly
